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Riemannian Geometry of Contact and Symplectic Manifolds by David E. Blair (auth.) is a nonfiction available to read on EtoBox.

What is Riemannian Geometry of Contact and Symplectic Manifolds about?

The author's lectures, "Contact Manifolds in Riemannian Geometry," volume 509 (1976), in the Springer-Verlag Lecture Notes in Mathematics series have been out of print for some time and it seems appropriate that an expanded version of this material should become available. The present text deals with the Riemannian geometry of both symplectic and contact manifolds, although the book is more contact than symplectic. This work is based on the recent research of the author, his students, colleagues, and other scholars, the author's graduate courses at Michigan State University and the earlier lecture notes. Chapter 1 presents the general theory of symplectic manifolds. Principal circle bundles are then discussed in Chapter 2 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 Rie­ mannian metrics associated to symplectic and contact structures. Chapter 5 is devoted to integral submanifolds of the contact subbundle. In Chapter 6 we discuss the normality of almost contact structures, Sasakian manifolds, K­ contact manifolds, the relation of contact metric structures

Who reads Riemannian Geometry of Contact and Symplectic Manifolds?

Author

David E. Blair (auth.)

Publisher

Birkhäuser Boston

Published

2002

Language

EN

ISBN

9780817642617

Category

nonfiction

Subjects

Mathematics, Stem