Open AccessBook
Riemannian Geometry of Contact and Symplectic Manifolds
Reads0
Chats0
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
More filters
Posted Content
$C^0$-characterization of symplectic and contact embeddings and Lagrangian rigidity
TL;DR: In this article, the shape invariant of Lagrangian embeddings and diffeomorphisms is used to characterize the structural rigidity of contact embedding and contact manifold.
Journal ArticleDOI
Homogeneous Contact Manifolds and Resolutions of Calabi–Yau Cones
TL;DR: In this article, the Cartan-Remmert connection for principal U(1)-bundles over complex flag manifolds is described by using elements of representation theory of simple Lie algebras.
Journal ArticleDOI
On Slant Magnetic Curves in $S$-manifolds
Şaban Güvenç,Cihan Özgür +1 more
TL;DR: In this article, it was shown that a slant normal magnetic curve in an S$-manifold can be considered if and only if it belongs to a list of slant φ-curves satisfying some special curvature equations.
Posted Content
Note on a Cohomological Theory of Contact-Instanton and Invariants of Contact Structures
TL;DR: In this article, a cohomological theory whose BRST observables are invariants of the background contact geometry has been proposed for contact-instantons, and an integral formula is given when the geometry is K-contact.
Dissertation
Sasakian Manifolds: Differential Forms, Curvature and Conformal Killing Forms
TL;DR: In this article, the authors investigated conformal Killing forms on Sasakian manifolds and decompose every Killing form into the sum of a special Killing form and an eigenform of the Lie derivative in the Reeb vector field.