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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
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Generic Lightlike Submanifolds of an Indefinite Cosymplectic Manifold
Dae Ho Jin,Jaewon Lee +1 more
TL;DR: In this paper, the definition of generic light-like submanifolds of an indefinite cosymplectic manifold was introduced, and the authors investigated new results on a class of generative lightlike subsurfaces.
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Contact CR-Warped Product Submanifolds of Kenmotsu Manifolds
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ϕ-semisymmetric generalized Sasakian space-forms
Uday Chand De,Pradip Majhi +1 more
TL;DR: In this article, the authors studied ϕ -Weyl semisymmetric and ϕ-projectively semisymmetric generalized Sasakian space-forms and illustrative examples are given.
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On slant curves in normal almost contact metric 3-manifolds
Jun-ichi Inoguchi,Ji-Eun Lee +1 more
TL;DR: In this article, the authors studied slant curves in almost contact metric 3-manifolds equipped with canonical connection and showed that the mean curvature is proper with respect to the canonical connection.
g-natural metrics: new horizons in the geometry of tangent bundles of Riemannian manifolds
TL;DR: In this article, the authors review some of the most interesting results, obtained recently, concerning the geometry of the tangent and the unit tangent bundles equipped with an arbitrary Riemannian g-natural metric.