Riemannian Geometry of Contact and Symplectic Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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David E. Blair 作者

Birkhäuser Boston

译者

2002-01-08 出版日期

288 页数

USD 89.95 价格

Hardcover

Progress in Mathematics 丛书系列

9780817642617 图书编码

Riemannian Geometry of Contact and Symplectic Manifolds 在线电子书图书标签: 数学 of and Symplectic Riemannian Manifolds Geometry Contact

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Riemannian Geometry of Contact and Symplectic Manifolds 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Riemannian Geometry of Contact and Symplectic Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Riemannian Geometry of Contact and Symplectic Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Riemannian Geometry of Contact and Symplectic Manifolds 在线电子书图书描述

This monograph deals with the Riemannian geometry of both symplectic and contact manifolds, with particular emphasis on the latter. The text is carefully presented. Topics unfold systematically from Chapter 1, which examines the general theory of symplectic manifolds. Principal circle bundles (Chapter 2) are then discussed as a prelude to the Boothby-Wang fibration of a compact regular contact manifold in Chapter 3, which deals with the general theory of contact manifolds. Chapter 4 focuses on the general setting of Riemannian metrics associated with both symplectic and contact structures, and Chapter 5 is devoted to integral submanifolds of the contact subbundle. Topics treated in the subsequent chapters include Sasakian manifolds, the important study of the curvature of contact metric manifolds, submanifold theory in both the K'hler and Sasakian settings, tangent sphere bundles, curvature functionals, complex contact manifolds and 3 Sasakian manifolds. The book serves both as a general reference for mathematicians to the basic properties of symplectic and contact manifolds and as an excellent resource for graduate students and researchers in the Riemannian geometric arena. The prerequisite for this text is a basic course in Riemannian geometry.

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