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Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Riemannian Geometry of Contact and Symplectic Manifolds (EB) / by David E. Blair.
Author	Blair, David E. , 1940-
Other name(s)	SpringerLink (Online service)
Publication	Boston : Birkhäuser
Publication	, 2010.
Physical Details	XV, 343 pages, 8 illus. : online resource.
Series	Progress in mathematics ; 203
ISBN	9780817649593
Summary Note	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. New principal topics include a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle and a complex version of the special directions discussed in Chapter 11 for the real case. Both of these topics make use of Ãtienne Ghys's attractive notion of a holomorphic Anosov flow. 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. Reviews from the First Edition: "The book . . . 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 sub-manifolds, symplectic structure of tangent bundles, curvature of contact metric manifolds and curvature functionals on spaces of associated metrics."Mathematical Reviews "â¦this 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." âMemoriile Sectiilor Stiintifice:
Contents note	Preface -- 1. Symplectic Manifolds -- 2. Principal 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 KÃ¤hler 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.
System details note	Online access to this digital book is restricted to subscription instititutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-4959-3
Links to Related Works	Subject References: Cell aggregation . Differential Geometry . Global differential geometry . Manifolds and Cell Complexes (incl. Diff.Topology) . Mathematics . Authors: Blair, David E. 1940- . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 516.36 . 516.36 (DDC 23) .

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Riemannian Geometry of Contact and Symplectic Manifolds

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