搜索结果: 1-15 共查到“非欧几何学 Riemannian”相关记录15条 . 查询时间(0.089 秒)
Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II
Riemannian Manifolds Killing vector fields Rellich identities
2011/1/21
We propose a general Noetherian approach to Rellich integral identities. Using this method we obtain a higher order Rellich type identity involving the polyharmonic operator on Riemannian manifolds ad...
On the flatness of Riemannian cylinders without conjugate points
flatness of Riemannian cylinders conjugate points
2010/12/31
What are appropriate geometric conditions ensuring that every complete Riemannian 2-cylinder without conjugate points is at?Examples with nonpositive curvature show that one has to assume that the end...
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
2010/12/31
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary
Positive solutions of singularly perturbed nonlinear elliptic Riemannian manifolds boundary
2010/12/31
Let (M, g) be a smooth connected compact Riemannian manifold of finite dimension n ≥ 2 with a smooth boundary @M. We consider the problem −"2gu + u = |u|p−2u, u > 0 on M, @u @= 0 on @M w...
Bumpy Riemannian metrics and closed parametrized minimal surfaces in Riemannian manifolds
Bumpy Riemannian metrics closed parametrized minimal surfaces Riemannian manifolds
2010/12/31
This article is concerned with conformal harmonic maps f : ! M,where is a closed Riemann surface and M is a compact Riemannian manifold of dimension at least four. We show that when the ambient ma...
Curve Reconstruction in Riemannian Manifolds: Ordering Motion Frames
Curve Reconstruction Riemannian Manifolds Ordering Motion Frames
2010/12/31
In this article we extend the computational geometric curve reconstruction approach to curves in Riemannian manifolds.We prove that the minimal spanning tree, given a sufficiently dense sample set of ...
Biharmonic Riemannian maps
Riemannian map pseudo umbilical Riemannian map harmonic map biharmonic
2010/12/31
We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that suc...
Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology
Basic Riemannian Geometry Sobolev Estimates used Symplectic Topology
2010/12/20
This note collects a number of standard statements in Riemannian geometry and in Sobolevspace
theory that play a prominent role in analytic approaches to symplectic topology. These
include relations...
On the spectral geometry of a Riemannian Legendre foliation
spectral geometry Riemannian Legendre foliation
2010/9/17
We obtain geometric characterizations of isospectral minimal Riemannian Legendre foliations on compact Sasakian manifolds of constant '-sectional curvature.
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
almost-Riemannian geometry conjugate and cut loci
2010/9/15
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...
The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes
Isoperimetric Profile Noncompact Riemannian Manifold for Small Volumes
2010/9/3
Let M be an n-dimensional Riemannian manifold. We deal, mainly, with the problem of finding a relatively compact domain D ⊂⊂ M that minimizes Area(∂D) among domains of the same volum...
Almost commutative Riemannian geometry, I: wave operators
noncommutative geometry quantum groups quantum gravity
2010/9/1
Associated to any (pseudo)-Riemannian manifold M of dimension n is an n + 1-dimensional noncommutative di erential structure (1; d)on the manifold.
Exponential convergence to equilibrium for kinetic Fokker-Planck equations on Riemannian manifolds
kinetic Fokker-Planck equations Riemannian manifolds
2010/9/1
A class of linear kinetic Fokker-Planck equations with a non-trivial dif-fusion matrix and with periodic boundary conditions in the spatial vari-able is considered. After formulating the problem in a ...
Sectional Curvature in terms of the Cometric, with Applications to the Riemannian Manifolds of Landmarks
shape spaces landmark points cometric sectional curvature
2010/9/1
This paper deals with the computation of sectional curvature for the manifolds of N land-
marks (or feature points) in D dimensions, endowed with the Riemannian metric induced by the
group action of...
Flat Pseudo-Riemannian Homogeneous Spaces with Non-Abelian Holonomy Group
Flat Pseudo-Riemannian Homogeneous Spaces Non-Abelian Holonomy Group
2010/9/1
We construct homogeneous flat pseudo-Riemannian manifolds with non-abelian fundamental group. In the compact case, all homogeneous flat pseudo-Riemannian manifolds are complete and have abelian linear...