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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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Journal ArticleDOI
Slant Curves in 3-Dimensional Normal Almost Paracontact Metric Manifolds
TL;DR: In this article, the curvature and torsion of slant Frenet curves in 3-dimensional normal almost paracontact metric manifolds are studied, and properties of non-Frenet slant curves with null tangents or null normals are studied.
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Sasakian structures on CR-manifolds
TL;DR: In this paper, it was shown that any Sasakian manifold M is CR-diffeomorphic to an S1-bundle of unit vectors in a positive line bundle on a projective Kahler orbifold.
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η-parallel contact metric spaces
Eric Boeckx,Jong Taek Cho +1 more
TL;DR: In this article, it was shown that a contact metric manifold M = (M; η, ξ, ϕ, g) with η-parallel tensor h is either a K-contact space or a (k, µ)-space, where h denotes, up to a scaling factor, the Lie derivative of the structure tensor ϕ in the direction of the characteristic vector ξ.
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Some Aspects on the Geometry of the Tangent Bundles and Tangent Sphere Bundles of a Riemannian Manifold
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