This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world's leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a broad readership, from those involved in Convex Geometry, to those focusing on Functional Analysis, Harmonic Analysis, Differential Geometry, or PDEs. The book is a addressed to PhD students and researchers, interested in Convex Geometry and its links to analysis. Read more...
Abstract:
This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. The book will be of interest to a broad readership, from those involved in Convex Geometry, to those focusing on Functional Analysis, Harmonic Analysis, Differential Geometry, or PDEs. Read more...
Author(s): Bianchi, Gabriele; Colesanti, Andrea; Gronchi, Paolo (eds.)
Series: Springer INdAM series 25
Publisher: Springer
Year: 2018
Language: English
Pages: 120
Tags: Convex domains.;MATHEMATICS -- Calculus.;MATHEMATICS -- Mathematical Analysis.;Mathematics.;Convex and Discrete Geometry.;Analysis.;Field Theory and Polynomials.;Group Theory and Generalizations.;Calculus & mathematical analysis.;Algebra.;Groups & group theory.;Algebraic geometry.
Content: 1 Dual curvature measures in Hermitian integral geometry, A. Bernig, J.H.G. Fu and G. Solanes --
2 Estimates for the integrals of powered i-th mean curvatures, M.H. Hernandez Cifre and D. Alonso-Gutierrez --
3 Crofton formulae for tensorial curvature measures: the general case, D. Hug and J.A. Weis --
4 Extensions of reverse volume difference inequalities, A. Koldobsky and D. Wu --
5 Around the simplex mean width conjecture, A. Litvak --
6 Discrete centro-affine curvatures for convex polygons, A. Stancu --
7 Characterizing the volume via a Brunn-Minkowski inequality, J. Yepes-Nicolas.
