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 Indexread more
Citations
More filters
Posted Content
The twistor space of a quaternionic contact manifold
TL;DR: In this paper, the Ricci curvature of the Biquard connection commutes with the endomorphisms in the quaternionic structure of the contact distribution, and it is shown that the CR structure on the twistor space of a quaternion contact structure is normal.
Journal ArticleDOI
Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions
Uday Chand De,Dibakar Dey +1 more
TL;DR: In this paper, the authors characterized Ricci pseudosymmetric and Ricci semisymmetric almost Kenmotsu manifolds with (k, μ)-, (k; μ)′-, and generalized (k and μ)-nullity distributions.
Journal ArticleDOI
Some classes of almost contact metric manifolds and contact Riemannian submersions
TL;DR: In this article, the integrability tensor and the mean curvature vector field of each fiber are derived for locally conformal almost quasi-Sasakian manifolds.
Journal ArticleDOI
Cosymplectic p-spheres
TL;DR: In this article, the properties of cosymplectic p-spheres are studied and a complete classification of compact 3-manifolds that admit a cosymmplectic circle is provided.
Journal Article
Legendrian foliations on almost S-manifolds
TL;DR: In this paper, the concept of Legendrian foliation was extended to almost Smanifolds, generalizing the definition both of Lagrangian foliations on contact metric manifolds and of LFG on symplectic manifolds.