Riemannian Geometry of Contact and Symplectic Manifolds

2. Auflage 2010
ISBN: 978-0-8176-4958-6
Verlag: Birkhäuser Boston

Buch, Englisch, Band 203, 343 Seiten, HC gerader Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1500 g

Reihe: Progress in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Blair, David E.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

Symplectic Manifolds.- Principal S 1-bundles.- Contact Manifolds.- Associated Metrics.- Integral Submanifolds and Contact Transformations.- Sasakian and Cosymplectic Manifolds.- Curvature of Contact Metric Manifolds.- Submanifolds of Kähler and Sasakian Manifolds.- Tangent Bundles and Tangent Sphere Bundles.- Curvature Functionals on Spaces of Associated Metrics.- Negative ?–sectional Curvature.- Complex Contact Manifolds.- Additional Topics in Complex Geometry.- 3-Sasakian Manifolds.- Erratum.