scispace - formally typeset
Open AccessBook

Riemannian Geometry of Contact and Symplectic Manifolds

Reads0
Chats0
TLDR
In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
Abstract
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

read more

Content maybe subject to copyright    Report

Citations
More filters
Journal ArticleDOI

Kähler manifolds of quasi-constant holomorphic sectional curvature

TL;DR: In this paper, the notion of quasi-constant holomorphic sectional curvature is introduced in the Kahlerian framework and necessary and sufficient conditions for these manifolds to be locally symmetric are obtained.
Journal ArticleDOI

Vaisman solvmanifolds and relations with other geometric structures

TL;DR: Andrada, Adrian Marcelo as discussed by the authors, and Andrada et al. as discussed by the authors presented a paper on "Centro de Investigacion y Estudios de Matematica" at the Universidad Nacional de Cordoba.
Journal ArticleDOI

Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms

TL;DR: In this paper, the Ricci curvature and scalar curvature for Riemannian submersions from Sasakian space forms onto Riemmannian manifolds were obtained.
Book ChapterDOI

On the Pointwise Slant Submanifolds

TL;DR: In this paper, the authors considered several kinds of submanifolds in Riemannian manifolds, which are obtained by many authors, and gave some open problems at this area.