Riemannian geometry of contact and symplectic manifolds /

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 (Chapt...

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Bibliographic Details
Main Author:	Blair, David E., 1940-
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Boston : Birkhauser, [2002]
Series:	Progress in mathematics (Boston, Mass.)
Subjects:	Contact manifolds. Symplectic manifolds. Geometry, Riemannian. GEOMETRIA RIEMANNIANA. GEOMETRIA SIMPLETICA. Variétés de contact. Variétés symplectiques. Riemann, Géométrie de. Symplektische Mannigfaltigkeit. Kontaktmannigfaltigkeit. Riemannsche Geometrie. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. Symplectic Manifolds
2. Principal S[superscript 1]-bundles
3. Contact Manifolds
4. Associated Metrics
5. Integral Submanifolds and Contact Transformations
6. Sasakian and Cosymplectic Manifolds
7. Curvature of Contact Metric Manifolds
8. Submanifolds of Kahler and Sasakian Manifolds
9. Tangent Bundles and Tangent Sphere Bundles
10. Curvature Functionals on Spaces of Associated Metrics
11. Negative [xi]-sectional Curvature
12. Complex Contact Manifolds
13. 3-Sasakian Manifolds.