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The Intrinsic Geometry of Almost Contact Metric Manifolds
almost contact manifold Sasakian manifold K-contact manifold the intrinsic geometry of almost contact metric manifolds
2011/9/22
Abstract: In this paper the notion of the intrinsic geometry of an almost contact metric manifold is introduced. Description of some classes of spaces with almost contact metric structures in terms of...
Cohomology rings of good contact toric manifolds
contact toric cohomology equivariant cohomology
2011/1/20
A good contact toric manifold M is determined by its moment cone C. We compute the equivariant cohomology ring with Z coefficient of M in terms of the combinatorial data of C. Then under a smoothness ...
Neighbourhoods and isotopies of knots in contact 3-manifolds
Neighbourhoods isotopies of knots contact 3-manifolds
2011/1/19
We prove a neighbourhood theorem for arbitrary knots in contact 3-manifolds. As an application we show that two topologically isotopic Legendrian knots in a contact 3-manifold become Legendrian isotop...
According to Giroux, contact manifolds can be described as open books whose pages are Stein manifolds. For 5-dimensional contact manifolds the pages are Stein surfaces, which permit a description via ...
A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
Local Symplectic Filling Obstructions Contact 3-Manifolds
2010/12/6
We generalize the familiar notions of overtwistedness and Giroux torsion in 3-dimensional contact manifolds, defining an infinite hierarchy of local filling obstructions called planar torsion, whose i...
Surgery Diagrams for Contact 3-Manifolds
contact 3-manifold Legendrian link contact surgery spinc structure
2010/2/26
In two previous papers, the two first-named authors introduced a notion of contact r-surgery along Legendrian knots in contact 3-manifolds. They also showed how (at least in principle) to convert any ...
On the curvature of $K$-contact Riemannian manifolds with constant Phi-sectional curvature with a submersion of geodesic fibres
K-contact Riemannian manifold almost K¨ahler manifold constant Á -sectional curvature Riemannian flow submersion with geodesic fibres
2009/2/18
We give the curvature tensor of K-contact Riemannian manifolds of constant
Á-sectional curvature.
On the curvature of K-contact Riemannian manifolds with constant ©¡sectional curvature with a submersion of geodesic fibres
K-contact Riemannian manifold almost K¨ahler manifold constant Á -sectional curvature Riemannian flow submersion with geodesic fibres
2009/1/8
We give the curvature tensor of K-contact Riemannian manifolds of constant
Á-sectional curvature.