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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
Citations
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A Class of Locally Conformal Almost Cosymplectic Manifolds
TL;DR: In this article, the authors studied a class of almost contact manifolds, namely locally conformal almost manifolds and proved that some of them contain the class of bundle-like metric structures.
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Levi-umbilical real hypersurfaces in a complex space form
Jong Taek Cho,Makoto Kimura +1 more
TL;DR: In this article, a classification of Levi-umbilical real hypersurfaces in a complex space form, whose Levi form is proportional to the induced metric by a nonzero constant is given.
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α-Sasakian 3-Metric as a Ricci Soliton
TL;DR: In this article, it was shown that if the metric of a 3-dimensional α-Sasakian manifold is a Ricci soliton, then it is either of constant curvature or of constant scalar curvature.
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Contact geometry of one dimensional holomorphic foliations
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