Riemannian Topology And Geometric Structures On Manifolds
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Riemannian Topology and Geometric Structures on Manifolds
Author: Krzysztof Galicki
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-07-25
Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer’s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing on these fundamental ideas, this collection presents review articles, original results, and open problems of interest.
Modern Geometric Structures and Fields
Author: Сергей Петрович Новиков
language: en
Publisher: American Mathematical Soc.
Release Date: 2006
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.
Differential Geometric Structures
Author: Walter A. Poor
language: en
Publisher: Courier Corporation
Release Date: 2015-04-27
This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.