搜索结果: 136-150 共查到“知识库 微分几何学”相关记录252条 . 查询时间(3.332 秒)
Rigidity of high dimensional graph manifolds
Quasi-isometry quasi-action graph of groups CAT(0) space Borel conjecture Baum-Connes conjecture
2011/9/1
Abstract: We define the class of high dimensional graph manifolds. These are compact smooth manifolds supporting a decomposition into finitely many pieces, each of which is diffeomorphic to the produc...
Formulae for the determination of the elements of the Eotvos matrix of the Earth's normal gravity field and a relation between normal and actual Gaussian curvature
Eotvos matrix normal gravity field equipotential surfaces Gauss curvature plumbline curvature
2011/9/1
Abstract: In this paper we form relations for the determination of the elements of the E\"otv\"os matrix of the Earth's normal gravity field. In addition a relation between the Gauss curvature of the ...
Thin instantons in G_2-manifolds and Seiberg-Witten invariants
G_2-manifolds and Seiberg-Witten invariants Differential Geometry
2011/9/1
Abstract: For two nearby disjoint coassociative submanifolds C and C' in a G_2-manifold, we construct thin instantons with boundaries lying on C and C' from regular J-holomorphic curves in C. We expla...
Integrable Hamiltonian systems with incomplete flows and Newton's polygons
integrable Hamiltonian system incomplete Hamiltonian flows Newton’s polygon
2011/9/1
Abstract: We study the Hamiltonian vector field $v=(-\partial f/\partial w,\partial f/\partial z)$ on $\mathbb C^2$, where $f=f(z,w)$ is a polynomial in two complex variables, which is non-degenerate ...
On invariants of almost symplectic connections
almost symplectic linear connection torsion quadratic invariant
2011/8/31
Abstract: We study the irreducible decomposition under Sp(2n, R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-...
Interior derivative estimates for the Kahler-Ricci flow
Interior derivative estimates the Kahler-Ricci flow Differential Geometry
2011/8/31
Abstract: We give a maximum principle proof of interior derivative estimates for the K\"ahler-Ricci flow, assuming local uniform bounds on the metric.
Evolution of spacelike surfaces in anti-De Sitter space by their Lagrangian angle
Evolution of spacelike surfaces anti-De Sitter space Lagrangian angle Differential Geometry
2011/8/31
Abstract: We study spacelike hypersurfaces in anti-De Sitter spacetime that evolve by the Lagrangian angle of their Gau\ss\ maps.
The geodesic flow on a Riemannian supermanifold
The geodesic flow Riemannian supermanifold Differential Geometry
2011/8/31
Abstract: We give a natural definition of geodesics on a Riemannian supermanifold and extend the usual geodesic flow defined on the cotangent bundle of the body of the supermanifold, associated to the...
Umbilical submanifolds of $\mathbb{S}^n\times \mathbb{R}$
Umbilical submanifolds Differential Geometry
2011/8/30
Abstract: We give a complete classification of umbilical submanifolds of arbitrary dimension and codimension of $\Sf^n\times \R$, extending the classification of umbilical surfaces in $\Sf^2\times \R$...
Conformal pure radiation with parallel rays
Pure radiation parallel rays pp–waves conformal geometry tractor calculus
2011/8/30
Abstract: We define pure radiation metrics with parallel rays to be n-dimensional pseudo-Riemannian metrics that admit a parallel null line bundle K and whose Ricci tensor vanishes on vectors that are...
On filling minimality of simple Finsler manifolds
simple Finsler manifolds Metric Geometry Differential Geometry
2011/8/30
Abstract: This paper states a formula for the difference of the Holmes-Thompson volumes of two simple Finsler manifolds of arbitrary dimension, in terms of the boundary distances and their derivatives...
An analytic approach to the stratified Morse inequalities for complex cones
complex cones stratified Morse inequalities Differential Geometry
2011/8/30
Abstract: In a previous article the author extended the Witten deformation to singular spaces with cone-like singularities and to a class of Morse functions called admissible Morse functions. The meth...
Extrinsic hyperspheres in manifolds with special holonomy
Universitat Stuttgart Andrei Moroianu, CMLS
2011/8/30
Abstract: We describe extrinsic hyperspheres and totally geodesic hypersurfaces in manifolds with special holonomy. In particular we prove the nonexistence of extrinsic hyperspheres in quaternion-Kaeh...
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...
On natural derivatives and the curvature formula in fibre bundles
fibre bundles natural derivatives connections integrability covariant derivatives
2011/8/31
Abstract: In a fibre bundle, natural derivatives of a section are defined as tangent vector fields on the image of a section of the fibre bundle. A local extension to vector fields in the tangent bund...