Differential geometry: curves, surfaces, manifolds

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Author(s): Hunt, Bruce; Kühnel, Wolfgang
Series: Student mathematical library volume 77
Edition: Third edition
Publisher: American Mathematical Society
Year: 2015

Language: English
Pages: 402
City: Providence, Rhode Island
Tags: Geometry, Differential.;Curves.;Surfaces.;Manifolds (Mathematics);Differential geometry -- Instructional exposition (textbooks, tutorial papers, etc.);Curves;Geometry, Differential;Surfaces

Content: Notations and prerequisites from analysisCurves in $\mathbb{R}^n$The local theory of surfacesThe intrinsic geometry of surfacesRiemannian manifoldsThe curvature tensorSpaces of constant curvatureEinstein spacesSolutions to selected exercisesBibliographyList of notationIndex