搜索结果: 1-10 共查到“应用数学 Riemannian”相关记录10条 . 查询时间(0.143 秒)
On gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
Nonlinear parabolic equations Gradient estimates
2010/9/25
Let (M,g) be a complete noncompact Riemannian manifold. In this note, we derive a local gradient estimate for positive solution to a simple nonlinear parabolic equation
Liouville-type theorems and applications to geometry on complete Riemannian manifolds
Liouville-type theorems geometry complete Riemannian manifolds
2010/11/11
On a complete Riemannian manifold M with Ricci curvature satisfying $$\textrm{Ric}(\nabla r,\nabla r) \geq -Ar^2(\log r)^2(\log(\log r))^2...(\log^{k}r)^2$$ for $r\gg 1$, where A>0 is a constant, and ...
Geodesics and distance on the Riemannian manifold of Riemannian metrics
the Riemannian manifold Riemannian metrics
2010/11/11
Given a fixed closed manifold M, we exhibit an explicit formula for the distance function of the canonical L^2 Riemannian metric on the manifold of all smooth Riemannian metrics on M. Additionally, w...
On the Uniqueness of Solutions of the Schrödinger Equation on Riemannian Symmetric Spaces of the Noncompact Type
the Schrö dinger Equation Riemannian Symmetric Spaces the Noncompact Type
2010/11/11
Let X be a Riemannian symmetric space of the noncompact type. We prove that the solution of the time-dependent Schr\"odinger equation on X with square integrable initial condition f is identically ze...
On minimal surfaces of axially symmetric planal Riemannian metrics in 3-space
Riemannian metrics Minimal surfaces
2010/9/17
In last, we characterise that, the only riemannian metrics which have a constant determinant on Bμ,ξ and which admit all the planes as minimal surfaces are Heisenberg’s metrics.
On the curvature of $K$-contact Riemannian manifolds with constant Phi-sectional curvature with a submersion of geodesic fibres
K-contact Riemannian manifold almost K¨ahler manifold constant Á -sectional curvature Riemannian flow submersion with geodesic fibres
2009/2/18
We give the curvature tensor of K-contact Riemannian manifolds of constant
Á-sectional curvature.
Some properties of distinguished vector fields on Riemannian manifolds
vector fields Riemannian pseudo-Riemannian manifolds
2009/2/7
The vector fields play an important role in Riemannian (or pseudo-Riemannian)
manifolds. In literature it is known the concept of covariant cohomology oper-
ator r‹, where r means the Levi-Civi...
Some properties of distinguished vector fields on Riemannian manifolds
vector fields Riemannian and pseudo-Riemannian manifolds
2009/1/12
The vector fields play an important role in Riemannian (or pseudo-Riemannian)
manifolds. In literature it is known the concept of covariant cohomology oper-
ator r‹, where r means the Levi-Civi...
On the curvature of K-contact Riemannian manifolds with constant ©¡sectional curvature with a submersion of geodesic fibres
K-contact Riemannian manifold almost K¨ahler manifold constant Á -sectional curvature Riemannian flow submersion with geodesic fibres
2009/1/8
We give the curvature tensor of K-contact Riemannian manifolds of constant
Á-sectional curvature.
A General Optimal Inequality for Arbitrary Riemannian Submanifolds
$delta$-invariants Inequality Riemannian submanifold Squared mean curvature Sectional curvature
2008/7/3
One of the most fundamental problems in submanifold theory is to establish simple relationships between intrinsic and extrinsic invariants of the submanifolds (cf. [6]). A general optimal inequality f...