Proceedings of the 8th Seminar on Geometry and Topology

Opening Welcome Message . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
About Professor Hashtroodi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
About Faculty of Mathematics & Computer Science . . . . . . . . . . . . . . . . . . . . . . . . . . 2
List of Executive and Academic Committee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
List of executive and academic committee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Workshops . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Alekseevsky: Light, Eye, Brain. Geometric Problems in Vision . . . . . . . . . . . . 10
Matveev: Projectively invariant objects and the index of the group of affine transfor-
mations in the group of projective transformations . . . . . . . . . . . . . . . . . 33
Safdari: Direct Methods in the Calculus of Variations . . . . . . . . . . . . . . . . . . 62
Zeghib: Configuration spaces: Geometry, Topology, Dynamics, Physics and Technology 62
Plenary Lectures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
Bahrampor: Sir Roger Penrose and Big Bang Theorem . . . . . . . . . . . . . . . . 64
Bidabad: A Rigidity Theorem on Complete Finsler Manifolds of Scalar Curvature . . 64
Koushesh: One-point Connectifications . . . . . . . . . . . . . . . . . . . . . . . . . . 64
Kozma: Hyperbolicity in Finsler geometry . . . . . . . . . . . . . . . . . . . . . . . . 65
Kozma: Finsler Manifolds and their Holonomies . . . . . . . . . . . . . . . . . . . . . 65
Mamaghani: Geometry and Financial Models . . . . . . . . . . . . . . . . . . . . . . 65
Matveev: Conformally Berwald manifolds . . . . . . . . . . . . . . . . . . . . . . . . 66
Nassiri: Topology and dynamics of surface homeomorphisms . . . . . . . . . . . . . . 66
Zeghib: Configuration spaces: Geometry, Topology, Dynamics, Physics and Technology 67
Conference Proceedings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
Abbasi, M.: Free Subsemigroups in Topological Semigroups . . . . . . . . . . . . . . 69
Abbasi; Pourbarat: Non-autonomous Discrete Systems . . . . . . . . . . . . . . . . 73
Abdi; Abedi, E.: Submanifolds of Conformal Kenmotsu Manifolds with Recurrent
Curvature Tensor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Abdolhadi; Haghighatdoost; Mahjoubi: The Topology of Liouville Foliation for
the Euler Integrable Case on the Lie Algebra SO(4) . . . . . . . . . . . . . . . . 85
Abdullahi Rashid; Pashaei; Mashayekhy; Torabi: On Relationship Between
Generalized Covering Subgroups of Fundamental Groups . . . . . . . . . . . . . . 92
Abedini; Abedi, E.: Totally Umbilic Submanifolds of a Conformal Sasakian Manifold 95
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Iranian Mathematical Society
Abedi-Fardad; Haghighatdoost; Rezaei-Aghdam: Integrable bi-Hamiltonian
Systems on Four Dimensional Real Symplectic Lie Groups . . . . . . . . . . . . . 100
Abolvafai; Raesi: Geometric Investigation of Blood Flow and Increasing Effect Angle
of Graft Vessels on the Vortical Structures . . . . . . . . . . . . . . . . . . . . . . 106
Ahangari: Geometric Analysis of the Einstein-Like Manifolds Under the Conformal
Deformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
Ahangari: Construction of the Transverse Foliated Cocycles on the Tangent Bundle
via Formal Integrability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Ahmadi; Hassani: Cohomogeneity on Three Dimensional Hyperquadrics . . . . . . 128
Akrami: Field Geometry and Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . 133
Alijani; Sahleh: Generalized t-extensions in Locally Compact Abelian Groups . . . 136
Aminian; Kashani: Lk-(Chen) Conjecture . . . . . . . . . . . . . . . . . . . . . . . 140
Aminizadeh; Asadi: A Proof of Fundamental Theorem of Curves in R4 Using 3-fold
Vector Cross Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145
Aral: Constancy of Certain Maps on Metallic Riemannian Manifold . . . . . . . . . . 148
Arianpoor: Integrable Dirac Structures on Lie Algebroids . . . . . . . . . . . . . . . 153
Asadi; Anco: Non-local and Local Nonlinear Shrödinger Equation in some low di-
mensional Hermitian symmetric space . . . . . . . . . . . . . . . . . . . . . . . . 160
Asghari Khezerlou; Malekzadeh: On three-dimensional (, μ)-contact metric man-
ifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162
Ataei; Taghian: K-class and Transitive K-relations in K-geometric Space . . . . . . 166
Ayatollah Zadeh Shirazi: On Proximality of a Transformation Group with One
Point Compactification of a Discrete Space as Phase Space . . . . . . . . . . . . 170
Ayatollah Zadeh Shirazi; Shamloo: Enveloping Semigroups and Box Topology . . 174
Ayatollah Zadeh Shirazi; Nili Ahmadabadi: On Co-decomposability to Equicon-
tinuous Transformation Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
Ayatollah Zadeh Shirazi; Haghjooyan: Chain Transitive Generalized Shifts . . . 184
Azami: Variation Eigenvalues of a Class of (p, q)-Laplacian Under the Yamabe Flow 188
Azami: Variation Eigenvalues of P-Laplacian Under the Ricci-Bourguignon Flow . . 196
Azimpour: A Note on Sezabo Operator in Lorentzian Manifolds . . . . . . . . . . . 205
Baghban; Abedi, E.: On the Harmonic Vector Fields . . . . . . . . . . . . . . . . . 213
Bahrami Seif Abad; Sharifzadeh: The Generalization of Some Causally Condition
of a Spacetime to a Bicontinuous Poset . . . . . . . . . . . . . . . . . . . . . . . . 221
Barzanouni; Divandar: Topologically Stable and Topological Persistence . . . . . . 226
Barzegari; Tayebi: Canonical Ehresmann Connection on a Lie Group with Bi–
invariant Finsler Metric . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231
Behzadi; Shaban Nataj: k-symplectic Pre-quantization of the Dual a the Lie Algebra238
Bidabad: On Complete Finsler Manifolds of Scalar Curvature . . . . . . . . . . . . . 242
Bidabad; Mirshafeazadeh: A Rigidity Theorem On Yamabe Quasi Solitons . . . . 253
Bidabad; Yar Ahmadi: On Finslerian Compact Gradient Yamabe Solitons . . . . . 258
Bidabad; Fathi : Time Optimal Trajectories for Zermelo’s Navigation in Presence
of Two Moving Obstacles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263
Bidabad; Sedaghat: Ricci Curvature and its Higher Derivatives under Finsler Ricci
Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268
Danesh Khah: Some Topics on Harmonic and Dirac–harmonic Maps . . . . . . . . . 279
Dehkordy: Submanifolds of a Riemannian Manifold with the Generalized Connection 288
Douroudian; Setayesh: Combinatorial Kont Floer Homology of a Pullback of a
Knot in its Cyclic Branched Covers . . . . . . . . . . . . . . . . . . . . . . . . . . 296
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8th Seminar on Geometry and Topology
Elyasi: Derivations of the Algebra of Sections of some Algebra Bundles . . . . . . . . 304
Estaji; Zarghani: Pointless form of Grills . . . . . . . . . . . . . . . . . . . . . . . . 311
Etebar: On Sequentially Compact Linearly Ordered Spaces . . . . . . . . . . . . . . 314
Eybpoosh; Rezaii; Khorasani: Medial Axis in Hyperbolic Space . . . . . . . . . . 317
Farokhi-ostad: Closed Rang of Operator in Hilbert Modules . . . . . . . . . . . . . . 322
Ghahremani-Gol; Razavi: Ricci Flow as Automorphisms of the Lie Algebra on
Simply Connected Three Dimensional Lie Groups . . . . . . . . . . . . . . . . . . 326
Ghane; Passandideh: Homotopical properties of wild spaces . . . . . . . . . . . . . 333
Gholami; Haji-Badali: (2 + 1) BTZ Black Hole with Cosmological Constant . . . . 337
Haji-Badali; Sourchi: There dimensional certain homogeneous paracontact metrics 340
Heidari; Heydari: Parametrization of Euclidean Nearly Kähler Submanifolds . . . . 344
Hesamifard; M. M. Rezaii: Evolution of Warped Product Minkowski Metric and
Robertson–Walker Metric Under Ricci Flow and 2–loop Renormalization Group
Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351
Hooshmandasl; Alambardar; Goharshady; Shakiba: A Combinatorial Ap-
proach to Certain Topological Spa-ces Based on Minimum Complement S-approximation
Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 356
Jafari: Partially Invariant Solutions of Zakharov-Kuznetsov Equation . . . . . . . . . 370
Jamalzadeh; Bahrami : A Topology on Brandt –extension of a Group G . . . . . 375
Joharinad: Finsler Structure as a Hamiltonian Formalism and Conformal Gradient
Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380
Karimghasemi; Laleh: Ricci Flow in 2–Dimension . . . . . . . . . . . . . . . . . . . 390
Kashani: Chen Inequalities for Submanifolds of Sasakian Space Forms Endowed with
Quarter-symmetric Metric Connections . . . . . . . . . . . . . . . . . . . . . . . . 406
Kazemi: Topological Properties of Slant Submanifolds of 3-cosy-mplectic Manifolds . 416
Kazemi; Raei Barandagh: Semi-invariant Submanifolds in Manifolds with Metric
Mixed 3-structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 419
Keshtkar; Namdari: When is Cc(X)/P a Valuation Ring for Every Prime Ideal P? 422
Khamechi; Nouri: Two Examples of Complete Lie Algebras . . . . . . . . . . . . . 425
Khass; Bazigaran: An Introduction to Right and Left Topological Groups . . . . . 429
Khoddami: Lie Product on Algebras Generated by a Vector Space and a Linear
Functional . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 443
Kowkabi; Mashayekhy; Torabi: On Semicovering Maps . . . . . . . . . . . . . . . 446
Latifi: Numerical Solution of Geodesic Differential Equations on a Surface in R3 . . . 450
Mahdavi; Dastranj; Toomanian: Perturbation Analysis for a Family of the Gen-
eralizations of the Burgers-Korteweg-de Vries Model with Small Parameter . . . 463
Mahdion; Chaichi: Geodesic Transformations and Space Forms . . . . . . . . . . . 467
Makrooni; Gardini: Smooth and Nonsmooth Bifurcations in an Invertible Map . . 473
Malek; Samanipour: A remark on Nearly Sasakian Manifold . . . . . . . . . . . . . 477
Maleki; Sadeghzadeh; Rajabi: Invariant Douglas Metrics Under Conformal Changes480
Malekzadeh; Abedi: Pseudo-symmetric Almost Kenmotsu Manifolds . . . . . . . . 489
Mirghafouri; Malek: A Special Ricci Flow on Hessian Manifolds . . . . . . . . . . . 493
Mirzaei: On Riemannian G-manifolds of Nonpositive Curvature and Low Cohomo-
geneity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 501
Mohades; Honari: Hearing the Symmetries of Crystal Lattices from the Integrated
Acoustic Energy Spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 508
Mosakhani; Haghighi: On the Configurations of Points in P2 with Waldschmidt
Constant Equal to Two . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 514
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Iranian Mathematical Society
Mousavi; Abedi, E.; Haghighatdoost: Some Properties on Warped Product Man-
ifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 518
Nadjafikhah; Yazdani: Non-classical Symmetries of generalized FKPP Equation
with x−dependent Coefficient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 524
Nadjafikhah; Hamedi Mobarra: The Similarity Solutions of the Gravitational
Waves of the Milne Space-time . . . . . . . . . . . . . . . . . . . . . . . . . . . . 530
Nasehi: On the Geometrical Properties of Five-dimensional Two-step Homogeneous
Nilmanifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 538
Nasehi: On Some Solvable Extensions of the Heisenberg Group with Douglas Metrics 544
Nazari; Mirhosseinkhani: Categorical Properties of Soft Topological Spaces . . . . 551
Nazari; Abedi E.: Ricci Solitons on Hypersurfaces of a Complex Space Form . . . . 554
Parsinia: On a Class of Ideals in Subalgebras of C(X) Containing C(X) . . . . . . 559
Pashaei; Abdullahi Rashid; Mashayekhy; Torabi: On Open Subgroups of Topol-
ogized Fundamental Group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 562
Pirbodaghi; M. M. Rezaii: Inverse Problem for Spray on Lie Algebroids . . . . . . 565
Pourkhandani: Approximate Space-time Symmetries Near an Observer . . . . . . . 576
Pourkhandani: On a Partial Order in the Space of Skies of Space-time . . . . . . . . 580
Rajabi; Sadeghzade; Maleki: Invariant Douglas Metrics Under Generalized -changes584
Ranjbar: Geodesics of Randers Metrics on S2 . . . . . . . . . . . . . . . . . . . . . . 600
Rezaei; Ghasemnezhad; Saberali: On Conformal Transformations of Locally Du-
ally Flat Randers Metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 608
Rezaei, ; Saberali; Ghasemnezhad: Reversible Curvatures on Randers Spaces . . 614
M. M. Rezaii; Khameforoush: Gradient Ricci Solitons On Warped Prouct Finsler
Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 619
M. M. Rezaii; Kazemi: Some Properties of Conformal F-biharmonic Maps . . . . . 632
Sabzevari: An Illustrative Example for the Proof of the Beloshapkas Maximum Con-
jecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 638
Sahraei; Abazari: Computer Algebra and Thurston Geometries . . . . . . . . . . . 648
Salavati: On the Winding Number of Brownian Motion . . . . . . . . . . . . . . . . . 659
Shahdadi; Kouhestani: On (Semi) Topological BE-algebras . . . . . . . . . . . . . 661
Sharifzadeh; Bahrampour: A Splitting theorem for Cosmological Spacetimes and
Lorentzian Horosphere . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 665
Shojaee; M. M. Rezaii: Conformal geometry on Finsler manifolds . . . . . . . . . . 676
Soofi; B. Raesi: Study of Mathematical Models of Particles Transmission Through
Artery Wall . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 687
Suri; Eftekhari: Complete Lifts of Related Sprays and Connections . . . . . . . . . 701
Tayebi; Sadeghi; Peyghan: On Finsler Metrics with Vanishing S-curvature . . . . . 711
Tayebi; Shahbazi-Nia : On Generalized m-th Root Finsler Metrics . . . . . . . . . 715
Tayebi; Alipour: A New Banach Space and Its Topological Properties . . . . . . . . 725
Tayebi; Razgordani: On (, )-Metrics with Almost Vanishing H-Curvature . . . . 739
Tayyebi; Heidary: A New Approach to Connections on Lie Algebroids . . . . . . . 750
Toeiserkani; Razavi: Kähler Ricci flow on Warped Product Manifolds . . . . . . . . 752
Faghfouri; Kasbi : More on Minimal Translation Surfaces . . . . . . . . . . . . . . . 759
Vanaei; Kashani: Proper Cohomogeneity one Actions on Hn+1
1 . . . . . . . . . . . . 763
Vatandoost: An Orthomodular Structure of the Space-times . . . . . . . . . . . . . . 766
Vatandoost: Some Various Definitions of Holes in Space-times . . . . . . . . . . . . . 769
Zaeim; Calvaruso: On Symmetries of The Oscillator Group . . . . . . . . . . . . . . 773
VI
Zaj; Ghane: Stable Invariant Graphs and Their Ergodic Properties for Weakly Con-
tractive Skew Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 779
Zohrehvand: On General (, )-metrics of Landsberg Type . . . . . . . . . . . . . . 783