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Riemannian Geometry of Contact and Symplectic Manifolds David E. Blair

Riemannian Geometry of Contact and Symplectic Manifolds By David E. Blair

Riemannian Geometry of Contact and Symplectic Manifolds by David E. Blair


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Summary

This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view.

Riemannian Geometry of Contact and Symplectic Manifolds Summary

Riemannian Geometry of Contact and Symplectic Manifolds by David E. Blair

This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader.

Riemannian Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact manifolds. Researchers, mathematicians, and graduate students in contact and symplectic manifold theory and in Riemannian geometry will benefit from this work. A basic course in Riemannian geometry is a prerequisite.

Riemannian Geometry of Contact and Symplectic Manifolds Reviews

From the reviews:

The book . . . supplies a lot of examples, and includes many recent results. It can be used either as an introduction to the subject or as a reference for students and researchers . . . [it] gives a clear and complete account of the main ideas . . . and studies a vast amount of related subjects such as integral submanifolds, symplectic structure of tangent bundles, curvature of contact metric manifolds and curvature functionals on spaces of associated metrics. -Mathematical Reviews

Several examples accompany almost all chapters, in the first book in which the geometry of complex contact manifold[s] is presented. Always, a correct balance between theory and examples is maintained. Also the author gives detail and instructive proofs for basic results and states, without proofs, a great number of interesting results in addition to the corresponding references...[T]his is a pleasant and useful book and all geometers will profit [from] reading it. They can use it for advanced courses, for thesis topics as well as for references. Beginners will find in it an attractive [table of] contents and useful ideas for pursuing their studies. -Memoriile Sectiilor Stiintifice

From the reviews of the second edition:

In this book, contact and symplectic manifolds are studied from a Riemannian point of view ... . The book is an excellent reference work for researchers interested in the Riemannian geometry of contact and symplectic manifolds as well as a very good introduction to the subject, containing a lot of examples. The number of examples has even increased compared to the first edition. (Joeri Van der Veken, Mathematical Reviews, Issue 2012 d)

Table of Contents

Preface * 1. Symplectic Manifolds * 2. Principal S1-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 and Spaces of Associated Metrics * 11. Negative Xi-sectional Curvature * 12. Complex Contact Manifolds * 13. Additional Topics in Complex Geometry * 14. 3-Sasakian Manifolds * Bibliography * Subject Index * Author Index

Additional information

NPB9780817649586
9780817649586
0817649581
Riemannian Geometry of Contact and Symplectic Manifolds by David E. Blair
New
Hardback
Birkhauser Boston Inc
2010-08-25
343
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Riemannian Geometry of Contact and Symplectic Manifolds