Autor: David E. Blair
ISBN-13: 9780817649586
Einband: Buch
Seiten: 343
Gewicht: 654 g
Format: 244x163x28 mm
Sprache: Englisch

Riemannian Geometry of Contact and Symplectic Manifolds

Progress in Mathematics
 Buch
144,83 €*
New material in most chapters
Major new topics are covered such as a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle
Improvements and general corrections based off of the first edition are made throughout
Intended for a broad audience of mathematicians, researchers, and students in Riemannian geometry
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 Kähler 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
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.
Autor: David E. Blair
ISBN-13 :: 9780817649586
ISBN: 0817649581
Erscheinungsjahr: 01.09.2010
Verlag: Springer Basel AG
Gewicht: 654g
Seiten: 343
Sprache: Englisch
Auflage 10002, 2nd ed
Sonstiges: Buch, 244x163x28 mm, 6 schwarz-weiße Abbildungen