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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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Journal ArticleDOI
The curvature tensor of almost cosymplectic and almost Kenmotsu (\kappa,\mu,\nu)-spaces
TL;DR: In this article, the Riemann curvature tensor of (kappa,\mu,
u)-spaces was studied when they have almost cosymplectic and almost Kenmotsu structures.
Journal ArticleDOI
On invariant submanifolds of trans-Sasakian manifolds
TL;DR: In this article, necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic are given. But the difference between the conditions for α-SASAKian and β-Kenmotsu manifolds is not discussed.
Journal Article
On -recurrent almost Kenmotsu manifolds
Yaning Wang,Ximin Liu +1 more
TL;DR: In this article, the authors investigate -recurrent and -symmetric almost Kenmotsumanifolds with the characteristic vector fields belonging to some nullity distribution and show that the vector fields belong to the same distribution as the nullity distributions.
Posted Content
Harmonic contact metric structures, and submersions
E. Vergara-Diaz,C. M. Wood +1 more
TL;DR: In this article, the authors studied harmonic almost contact structures in the context of contact metric manifolds, and an analysis was carried out when such a manifold fibres over an almost Hermitian manifold, as exemplified by the Boothby-Wang fibration.