搜索结果: 1-15 共查到“几何学 Sphere”相关记录16条 . 查询时间(0.156 秒)
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE
SYMPLECTIC GEOMETRY POLYGONS 3-SPHERE
2015/10/14
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE.
《Ricci Flow and the Sphere Theorem》。
Sub-Geometries of Lie Sphere Differential Geometry
Sub-Geometries Lie Sphere Differential Geometry
2015/3/24
Sub-Geometries of Lie Sphere Differential Geometry.
A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Gluing Dirac Type Operators Mirror Quantum Two-Sphere
2014/12/12
The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subjec...
We characterize helix surfaces in the Berger sphere. In particular, we prove that, locally, a helix surface is invariant by the action of a 1-parameter group of isometries of the ambient space.
Deforming submanifolds of arbitrary codimension in a sphere
Mean curvature flow submanifolds of spheres convergence theorem differentiable sphere theorem integral curvature
2012/4/17
In this paper, we prove some convergence theorems for the mean curvature flow of closed submanifolds in the unit sphere $\mathbb{S}^{n+d}$ under integral curvature conditions. As a consequence, we obt...
Curvatures of weighted metrics on tangent sphere bundles
metric connection tangent sphere bundle curvature
2011/9/21
Abstract: We determine the curvature equations of natural metrics on tangent bundles and radius r tangent sphere bundles S_rM of a Riemannian manifold M. A family of positive scalar curvature metrics ...
Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds
twistor space Einstein manifold paraquaternionic structure mixed 3-structure
2011/9/21
Abstract: In this paper we obtain several curvature properties of the twistor and reflector spaces of a paraquaternionic K\"{a}hler manifold and prove the existence of both positive and negative mixed...
Rotational Linear Weingarten Surfaces into the Euclidean Sphere
Rotational surfaces Linear Weingarten surfaces
2011/2/24
The aim of this paper is to present a complete description of all linear rotational Weingarten surface into the Euclidean sphere S3. These surfaces are characterized by a linear relation aH+bK = c, wh...
We study the problem to extend an immersed circle f in the sphere S2 to an immersion of the disc. We analyze existence and uniqueness for this problems in terms of the combinatorial structure of a wor...
Non-intersecting Brownian walkers and Yang-Mills theory on the sphere
Non-intersecting Brownian walkers Yang-Mills theory on the sphere
2010/12/6
We study a system of N non-intersecting Brownian motions on a line seg-ment [0;L] with periodic, absorbing and re ecting boundary conditions.
We study the Schr\"odinger-Poisson system on the unit sphere $\SS^2$ of $\RR^3$, modeling the quantum transport of charged particles confined on a sphere by an external potential. Our first results c...
Two classes of slant surfaces in nearly Kahler six sphere
slant surfaces K¨ahler angle octonions six sphere
2010/12/14
In this paper we find examples of slant surfaces in the nearly K¨ahler six sphere. First, we characterize two-dimensional small and great spheres which are slant.
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
almost-Riemannian geometry conjugate and cut loci
2010/12/6
We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Rieman-nian geometry. We compute estimations of the exponential map wh...
1.1. Background. A bi-Lipschitz homeomorphism f : X → Y between metric spaces is a mapping f such that f and f−1 satisfy a uniform Lipschitz condition.