Riemannian Geometry of Contact and Symplectic Manifolds

• Κύριος συγγραφέας: Blair, David E. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2010.
• Σειρά: Progress in Mathematics ; 203
• Θέματα: Mathematics.; Algebraic geometry.; Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).; Algebraic Geometry.

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 S...

Πίνακας περιεχομένων:

• 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.