Metric Structures in Differential Geometry

This book PDF is perfect for those who love Mathematics genre, written by Gerard Walschap and published by Springer Science & Business Media which was released on 23 August 2012 with total hardcover pages 235. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Metric Structures in Differential Geometry books below.

Metric Structures in Differential Geometry
Metric Structures in Differential Geometry
Author : Gerard Walschap
File Size : 47,8 Mb
Publisher : Springer Science & Business Media
Language : English
Release Date : 23 August 2012
ISBN : 9780387218267
Pages : 235 pages
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Metric Structures in Differential Geometry by Gerard Walschap Book PDF Summary

This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.

Metric Structures in Differential Geometry

Metric Structures in Differential Geometry by Gerard Walschap

This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts

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Metric Structures for Riemannian and Non Riemannian Spaces by Mikhail Gromov

This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by

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