搜索结果: 31-40 共查到“微分几何学 3-manifolds”相关记录40条 . 查询时间(0.05 秒)
K-homology and index theory on contact manifolds
K-homology and index theory Operator Algebras Differential Geometry
2011/8/31
Abstract: Let X be a closed connected contact manifold. On X there is a naturally arising class of hypoelliptic (but not elliptic) operators which are Fredholm. In this paper we solve the index proble...
Mass-capacity inequalities for conformally flat manifolds with boundary
Mass-capacity inequalities conformally flat manifolds boundary
2011/8/29
Abstract: In this paper we prove a mass-capacity inequality and a volumetric Penrose inequality for conformally flat manifolds, in arbitrary dimensions. As a by-product of the proofs, capacity and Ale...
Polyhedral approximations of Riemannian manifolds
Polyhedral approximations Riemannian manifolds
2010/3/1
I'm trying to understand which Riemannian manifolds can be Lipschitz approximated by polyhedral spaces of the same dimension with curvature bounded below. The necessary conditions I found consist of s...
Affine Manifolds, Log Structures, and Mirror Symmetry
Affine Manifolds Log Structures Mirror Symmetry
2010/3/1
We outline work in progress suggesting an algebro-geometric version of the Strominger-Yau-Zaslow conjecture. We define the notion of a toric degeneration, a special case of a maximally unipotent degen...
The Cross Curvature Flow of 3-Manifolds with Negative Sectional Curvature
Cross curvature flow geometric evolution equation negative sectional curvature monotonicity formula hyperbolic metric
2010/2/26
We consider the cross curvature flow, an evolution equation of metrics on 3-manifolds. We establish short time existence when the sectional curvature has a sign. In the case of negative sectional curv...
Some properties of the first eigenvalue of the p(x)-laplacian on riemannian manifolds
Variable exponent Lebesgue and Sobolev spaces first eigenvalue Riemannian manifolds p(x)-Laplacian
2010/2/25
The main result of the present paper establishes a stability property of the first eigenvalue of the associated problem which deals with the p(x)-Laplacian on Riemannian manifolds with Dirichlet bound...
A Global Curvature Pinching Result of the First Eigenvalue of Laplacian on Riemannian Manifolds
Moser迭代 第一特征值 结点集 结点域
2008/5/15
通过利用一个拟阵与它的直立之间的关系,特别是通过处理一个拟阵与一个特殊映射 $f$之间的关系, 具体分析了V\'amos拟阵的直立问题,得到了除去平凡情形, V\'amos 拟阵没有直立的结论. 从而回答了由Welsh 提出``V\'amos拟阵是否有直立?''的问题.
关键词
Moser迭代
...
期刊信息
篇名
Computer symbol calculation of invariants of three-manifolds obtained from trefoil knot
语种
英文
撰写或编译
撰写
作者
李邦河,李起升,C.Peterson
第一作者单位
中科院数学与系统科学研究院
刊物名称
Chinese Science Bulletin (科学通报英文版)
页面
vol...
Killing and Geodesic Lightlike Hypersurfaces of Indefinite Sasakian Manifolds
Lightlike Hypersurfaces Indefinite Sasakian Screen Distribution
2010/2/25
In this paper, we study a lightlike hypersurface of indefinite Sasakian manifold, tangent to the structure vector field x. Theorems on parallel and Killing distributions are obtained. Necessary and su...
Submanifolds of Riemannian Product Manifolds
Riemannian Product Manifold Real Space Form Locally Riemannian Product and Curvature-Invariant Submanifold
2010/2/26
In this paper, we study the geometry of the semi-invariant submanifolds of a Riemannian product manifold. Fundamental properties of these type submanifolds such as the integrability of the distributio...