Open AccessBook
Riemannian Geometry of Contact and Symplectic Manifolds
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
Journal ArticleDOI
Pseudo-Einstein manifolds
TL;DR: Among the studies on pseudo-Hermitian geometry of strictly pseudo-convex almost CR manifolds, this paper studied especially the two kinds of pseudo-Einstein structures and related problems.
Paraquaternionic structures on smooth manifolds and related structures
Angelo Caldarella,L. Lopez +1 more
Journal ArticleDOI
Cartan spaces and natural foliations on the cotangent bundle
Hassan Attarchi,M. M. Rezaii +1 more
TL;DR: In this article, the natural foliations in cotangent bundle T*M of Cartan space (M, K) are studied and it is shown that geometry of these foliations are closely related to the geometry of the Cartan spaces itself.
Journal ArticleDOI
*- Critical point equation on N(k)-contact manifolds
Dibakar Dey,Pradip Majhi +1 more
Journal ArticleDOI
Special Half Lightlike Submanifolds of an Indefinite Cosymplectic Manifold
TL;DR: In this paper, the geometry of half light-like submanifolds of an indefinite cosymplectic manifold was studied, and two types of half-light-like subsets were constructed according to the form of the structure vector field of the manifold.