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
Pseudo f-Manifolds with Complemented Frames
Erdal Özüsağlam,Erbil Dikici +1 more
TL;DR: In this paper, a tensor tensor field of type (1, 1) is obtained for pseudo f-manifolds with complemented frame, in which the curvature tensor fields of the pseudo f manifold are given by
Posted Content
Riemannian properties of Engel structures
TL;DR: In this article, the authors studied geometric and Riemannian properties of Engel structures, i.e. maximally non-integrable $2$-plane fields on $4$-manifolds.
Journal ArticleDOI
On products of generalized geometries
Ralph R. Gomez,Janet Talvacchia +1 more
TL;DR: In this article, the authors address what generalized geometric structures are possible on products of spaces that each admit generalized geometries and draw attention to the relationship of the Courant bracket to the classical notion of normality for almost contact structures.
ReportDOI
On Special Types of Minimal and Totally Geodesic Unit Vector Fields
TL;DR: In this paper, a new equation with respect to a unit vector field on Riemannian manifold M such that its solution defines a totally geodesic submanifold in the unit tangent bundle with Sasakian metric was presented.
Journal ArticleDOI
Para-Sasaki-like Riemannian manifolds and new Einstein metrics
TL;DR: In this article, the authors define a hyperbolic extension of a paraholomorphic paracomplex Riemannian manifold and show that it is a para-Sasaki-like manifold.