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Riemannian Geometry of Contact and Symplectic Manifolds
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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Torsion and conformally Anosov flows in contact Riemannian geometry
TL;DR: In this paper, it was shown that conformal Anosov flow is conformally anosov on a compact contact metric 3-manifolds with critical metric for the Chern-Hamilton functional.
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Almost Kenmotsu f-Manifolds
Yavuz Selim Balkan,Nesip Aktan +1 more
TL;DR: In this paper, a generalization of almost Kenmotsu f-manifolds is considered and the authors obtain basic Riemannian curvatures, sectional curvatures and scalar curvatures for type manifolds.
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Flow-invariant structures on unit tangent bundles
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Lightlike Hypersurfaces of Indefinite Cosymplectic Manifolds
Tae Ho Kang,Su Kwan Kim +1 more
TL;DR: In this paper, the authors studied light-like hypersurfaces of indefinite cosymplectic manifolds and proved nonexistence of totally umbilical lightlike hypersurifaces.
Journal ArticleDOI
Seiberg-Witten-like equations on the strictly-pseudoconvex CR 7-manifolds
TL;DR: In this article, Seiberg Witten like equations are constructed on 7 manifolds endowed with G2 structure, lifted by SU.3/ structure, and a global solution is obtained on the strictly Pseudoconvex CR 7 manifold for a given negative and constant scalar curvature.