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
Journal ArticleDOI
Certain results on Kenmotsu pseudo-metric manifolds
TL;DR: In this article, a systematic study of Kenmotsu pseudo-metric manifolds is presented, and the Ricci solitons on these manifolds are considered, and necessary and sufficient conditions for them to have constant curvatures are provided.
Journal ArticleDOI
Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity
Ángel Murcia,C. S. Shahbazi +1 more
TL;DR: In this paper, the authors introduced the notion of e η -Einstein e -contact metric three-manifolds, which allows for the Reeb vector field to be null.
Journal ArticleDOI
Almost co-K\"{a}hler manifolds satisfying some symmetry conditions
TL;DR: In this paper, it was shown that any almost co-Kähler manifold of dimension 3 is φ -symmetric if and only if it is locally isometric to either a flat Euclidean space R or a Riemannian product R×N(c), where N denotes a Kähler surface of constant curvature c ̸= 0.
Journal ArticleDOI
Notes on real hypersurfaces in a complex space form
TL;DR: In this article, a homogeneous real hypersurface of type (A) or a ruled real hypersusurface in a non-flat complex space form was characterized.