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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
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On conharmonic curvature tensor in -contact and Sasakian manifolds.
TL;DR: In this paper, it was proved that a compact φ-conharmonically flat K-contact manifold with regular contact vector field is a principal S1-bundle over an almost Kaehler space of constant holomorphic sectional curvature.
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The torsion flow on a closed pseudohermitian 3-manifold
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Strong Kähler with torsion structures from almost contact manifolds
TL;DR: For an almost contact metric manifold N, this paper showed conditions under which either the total space of an S 1 -bundle over N or the Riemannian cone over N admit a strong Kahler with torsion (SKT) structure.
On Kenmotsu Manifolds Satisfying Certain Pseudosymmetry Conditions
TL;DR: In this paper, the authors studied pseudosymmetric, Ricci-pseudo-ymmetric and Weyl pseudosymetric Kenmotsu manifolds with respect to Ricci generalization.
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On a new class of contact metric 3-manifolds
TL;DR: In this paper, the authors studied 3-τ-α-manifolds having Qξ parallel to characteristic field ξ and the scalar curvature constant along the geodesic foliation generated by e or φ e.