Results 41 to 50 of about 1,072 (60)
Orthogonal direct sum of Lie groups [PDF]
arXiv, 2017 By this short preface we show the main idea and we will bring some definitions and concepts in each section.
arxiv
Jacobi groupoids and generalized Lie bialgebroids [PDF]
arXiv, 2002 Jacobi groupoids are introduced as a generalization of Poisson and contact groupoids and it is proved that generalized Lie bialgebroids are the infinitesimal invariants of Jacobi groupoids. Several examples are discussed.
arxiv
Legendrian Vertical Circles in Small Seifert Spaces [PDF]
arXiv, 2003 We discuss the relations between the $e_0$ invariants of a small Seifert space and the twisting numbers of Legendrian vertical circles in it.
arxiv
Tight Contact Small Seifert Spaces with $e_0\neq0,-1,-2$ [PDF]
arXiv, 2004 We classify up to isotopy the tight contact structures on small Seifert spaces with $e_0\neq0,-1,-2$. (The first version contains on the $e_0<-2$ case.)
arxiv
On the Slicing Genus of Legendrian Knots [PDF]
arXiv, 2005 We apply Heegaard-Floer homology theory to establish generalized slicing Bennequin inequalities closely related to a recent result of T. Mrowka and Y. Rollin proved using Seiberg-Witten monopoles.
arxiv
arXiv, 2005 Following on from ``Hyperbolic Plateau problems'' (by the same author), we provide a complete geometric description of solutions to the Plateau problem $(S,\phi)$ when $S$ is a compact Riemann surface with a finite number of points removed.
arxiv
Vanishing of the logarithmic trace of generalized Szegö projectors [PDF]
arXiv, 2006 We show that the logarithmic trace of generalized Szeg\"o projectors on compact contact manifolds vanishes identically.
arxiv
A Characterization of Minimal Surfaces in $S^5$ with Parallel Normal Vector Field [PDF]
arXiv, 2006 In this paper we proof that the Holomorphic angle for compact minimal surfaces in the sphere $S^5$ with constant Contact angle and with a parallel normal vector field must be constant.
arxiv
A Remark on Compact Minimal Surfaces in $S^5$ with Non-Negative Gaussian Curvature [PDF]
arXiv, 2007 In this paper we classify compact minimal surfaces in $S^5$ with non-negative Gaussian curvature using the notion of a contact angle.
arxiv
Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces [PDF]
arXiv, 2007 We derive Mok-Siu-Yeung type formulas for horizontal maps from compact contact locally sub-symmetric spaces into strictly pseudoconvex CR manifolds and we obtain some rigidity theorems for the horizontal pseudoharmonic maps.
arxiv