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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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Nearly hypo structures and compact nearly Kähler 6-manifolds with conical singularities
TL;DR: In this article, it was shown that any totally geodesic hypersurface N5 of a 6-dimensional nearly K¨ahler manifold M6 is a Sasaki-Einstein manifold and thus has a hypo structure in the sense of Conti and Salamon [Trans. Amer. Math. Soc. B 663 (2003) 343-364].
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On almost para-cosymplectic manifolds
TL;DR: In this article, the local structure of an almost para-cosymplectic manifold is described and sufficient and necessary conditions for an almost paracosymplectric manifold with para-Kahlerian leaves are established.
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Almost ricci solitons and k-contact geometry
TL;DR: In this article, the authors give a short Lie-derivative theoretic proof of the following recent result of Barros et al. that a compact almost Ricci soliton with constant scalar curvature is gradient, and isometric to a Euclidean sphere.