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
Journal ArticleDOI
Eigenfunction scarring and improvements in $L^{\infty}$ bounds
Jeffrey Galkowski,John A. Toth +1 more
TL;DR: In this paper, the authors studied the relationship between the growth of eigenfunctions and their defect measures and showed that scarring in the sense of concentration of defect measure on certain submanifolds is incompatible with maximal eigenfunction growth.
Posted Content
Contact reduction and groupoid actions
TL;DR: In this article, the authors show that Willett's reduced spaces are prequantizations of our reduced spaces; hence the former are completely determined by the latter, and that a symplectic manifold is prequantizable iff the integral form is integral.
Journal ArticleDOI
Invariant affine connections on odd-dimensional spheres
TL;DR: In this article, the authors introduced the notion of homogeneous Riemann-Cartan space for the case of odd-dimensional spheres, which are viewed as homogeneous spaces of the special unitary groups.
Journal ArticleDOI
BIHARMONIC INTEGRAL $\\mathcal{C}$-PARALLEL SUBMANIFOLDS IN 7-DIMENSIONAL SASAKIAN SPACE FORMS
Dorel Fetcu,Cezar Oniciuc +1 more
TL;DR: In this paper, the characterization of maximum dimensional proper-bihar-monic integral C-parallel submanifolds of a Sasakian space form and a 7-dimensional SasakIAN space form is presented.
Journal ArticleDOI
Some Results on Almost Ricci Solitons and Geodesic Vector Fields.
TL;DR: In this paper, it was shown that a Ricci soliton whose soliton vector field is divergence-free and its soliton soliton is Killing can be reduced to Ricci Soliton if and only if the associated vector field has geodesic this paper.