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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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Cyclic-parallel Ricci tensors on a class of almost Kenmotsu 3-manifolds
Yaning Wang,Xinxin Dai +1 more
TL;DR: In this article, the Ricci tensor of an almost Kenmotsu 3-manifold (M,ϕ,ξ,η,g) was shown to be cyclic-parallel.
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A study of conformal almost Ricci soliton on Kenmotsu manifolds
TL;DR: In this article , a conformal almost Ricci soliton on the Kenmotsu manifold has been studied, where the potential vector field is Jacobi along the Reeb vector field.
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On a class of almost Kenmotsu manifolds admitting an Einstein like structure
Dibakar Dey,Pradip Majhi +1 more
TL;DR: In this paper, the authors introduced the notion of $$*$$� -gradient $$\rho$$¯¯¯¯ -Einstein soliton on a class of almost Kenmotsu manifolds.
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Instantons on Sasakian 7-manifolds
TL;DR: In this article, a natural contact instanton (CI) equation on 7-dimensional Sasakian manifolds was studied, which is closely related to the transverse Hermitian Yang-Mills (tHYM) condition and the G_2-instanton equation.
Journal ArticleDOI
Contact Hypersurfaces of a Bochner–Kaehler Manifold
Amalendu Ghosh,Ramesh Sharma +1 more
TL;DR: In this paper, the authors studied contact metric hypersurfaces of a Bochner-Kaehler manifold and obtained the following two results: (1) a contact metric constant mean curvature (CMC) hypersurface of a BK manifold is a (k, μ)-contact manifold, and (2) if M is a compact contact metric CMC hypersusurface with a conformal vector field V that is neither tangential nor normal anywhere, then it is totally umbilical and Sasakian, and under certain conditions on V, is isometric to