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Blair, David E., 1940-

Riemannian geometry of contact and symplectic manifolds / David E. Blair - xii, 260 pages : illustrations ; 24 cm - Progress in mathematics ; volume 203 . - Progress in mathematics (Boston, Mass.) ; volume 203. .

Includes bibliographical references (pages [227]-252) and indexes

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 Bibliography Subject Index Author Index

ISBN: 0817642617 3764342617

LCCN: 2001052707

Subjects--Topical Terms:
Contact manifolds
Symplectic manifolds
Geometry, Riemannian

LC Class. No.: QA614.3 / .B53 2002

Dewey Class. No.: