Riemannian Geometry of Contact and Symplectic Manifolds 2024 pdf epub mobi 电子书


Riemannian Geometry of Contact and Symplectic Manifolds

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发表于2024-12-24

Riemannian Geometry of Contact and Symplectic Manifolds 2024 pdf epub mobi 电子书

Riemannian Geometry of Contact and Symplectic Manifolds 2024 pdf epub mobi 电子书

Riemannian Geometry of Contact and Symplectic Manifolds 2024 pdf epub mobi 电子书



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出版者:Birkhäuser Boston
作者:David E. Blair
出品人:
页数:288
译者:
出版时间:2002-01-08
价格:USD 89.95
装帧:Hardcover
isbn号码:9780817642617
丛书系列:Progress in Mathematics

图书标签: 数学  of  and  Symplectic  Riemannian  Manifolds  Geometry  Contact   


Riemannian Geometry of Contact and Symplectic Manifolds 2024 pdf epub mobi 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.

Riemannian Geometry of Contact and Symplectic Manifolds 2024 pdf epub mobi 电子书

Riemannian Geometry of Contact and Symplectic Manifolds 2024 pdf epub mobi 电子书
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