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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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Ricci Solitons in f-Kenmotsu Manifolds with the semi-symmetric non-metric connection
TL;DR: In this paper, some curvature conditions are given for 3-dim ensionalf -Kenmotsu manifolds with the semi-symmetric nonmetric connection, and it is showed that this manifold is not alw ays ξ -projective flat.
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Singular cosphere bundle reduction
TL;DR: In this paper, a stratification of the singular quotient, finer than the contact one and better adapted to the bundle structure of the problem, is obtained, where strata of this new stratification are a collection of cosphere bundles and coisotropic or Legendrian submanifolds of their corresponding contact components.
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New classes of null hypersurfaces in indefinite Sasakian space-forms.
TL;DR: In this paper, the authors introduced two classes of null hypersurfaces of an indefinite Sasakian manifold, called; contact screen conformal and contact screen umbilic, and proved that they are contained in indefinite SAsakian space forms of constant $\overline{\phi}$-sectional curvature.
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Topologically Massive Abelian Gauge Theory
TL;DR: In this article, the euclidean topologically massive abelian gauge theory defines a contact structure on a manifold and applies the curl transformation to the topological mass in transform space.
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Bochner and Conformal Flatness of Normal Metric Contact Pairs
TL;DR: In this article, it was shown that the normal metric contact pairs with orthogonal characteristic foliations, which are either Bochner flat or locally conformally flat, are locally isometric to the Hopf manifolds.