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Riemannian Geometry of Contact and Symplectic Manifolds
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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
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Journal ArticleDOI
Locally conformally symplectic and K\"ahler geometry
TL;DR: The reference book for locally conformally Kahler geometry is "Locally conformal Kahler Geometry" by Sorin Dragomir and Liviu Ornea as discussed by the authors, which provides a good introduction to locally conformal symplectic and Kahler geometries.
Journal ArticleDOI
On the curvature of a generalization of contact metric manifolds
TL;DR: In this paper, the curvature of an almost S-manifold is defined to be locally isometric to a product of a Euclidean space and a sphere, and a sufficient condition regarding the curvatures of such a manifold is given.
Journal ArticleDOI
On Canonical-type Connections on Almost Contact Complex Riemannian Manifolds
TL;DR: In this article, the authors consider a pair of smooth manifolds, which are the counterparts in the even-dimensional and odd-dimensional cases, of a manifold with Norden metric and an almost contact manifold with B-metric.
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Generalized Kenmotsu Manifolds
Aysel Turgut Vanli,Ramazan Sari +1 more
TL;DR: In this article, the authors studied a class of almost contact Riemannian manifolds called generalized Kenmotsu manifolds and showed that the curvature of these manifolds is a locally warped product space.