In this paper, we focus on these three problems and extend first two problems to Riemannian manifolds.
本文主要对上述三个问题进行较为深入的研究，并把前两个问题推广到黎曼流行上。
Estimations of the moments of the hitting time by Brownian motions on general Riemannian manifolds are also obtained.
估计了一般黎曼流形上的布朗运动关于球面击中时的各阶矩。
The definitions of pseudo-invex function and weak vector variation-like inequality on Riemannian manifolds are presented.
在黎曼流形上分别给出了伪不变凸函数和弱向量似变分不等式的概念。
The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.
研究拟常曲率黎曼流形中具有平行平均曲率向量的紧致子流形。
The work makes the study of compact submanifolds in quasi constant curvature Riemannian manifolds extend from the especial case to general case.
使得对拟常曲率黎曼流形中紧致子流形的研究由极小子流形和伪脐子流形情形扩展到具有平行平均曲率向量的情形。
The paper gives a simple version and progress of the open Riemannian manifolds with nonnegative Ricci curvature and large volume growth from 1990.
在本文中，我们主要研究具有非负曲率完备非紧流形的体积增长与闭测地线及距离函数临界点一些关系。
Under a suitable condition, this paper gives an existence theorem for harmonic maps from surfaces to certain Riemannian manifolds in a large scale.
在一定条件下，给出了一个从曲面出发的大范围调和映照的存在性定理。
As an algebraic system, Lie triple systems arise upon consideration of certain sub-spaces of Riemannian manifolds, the totally geodesic submanifolds.
李三系作为一种代数体系，最初源于对黎曼流形的一类特殊子空间——全测地子流形的研究。
The second variation formula of vertical energy functional for a submersion between Riemannian manifolds is calculated with a simple and direct manner.
对于黎曼流形的浸没建立了垂直能量泛函的二阶变分公式，研究强垂直调和映射的稳定性。
This course should help students master definitions, basic peoperties and methods of differentiable and Riemannian manifolds, increase their ability from parts to a whole.
通过本课程的学习，希望学生能初步掌握微分流形的基本概念、方法和技巧，学习从局部到整体的数学技巧。
This course should help students master definitions, basic peoperties and methods of differentiable and Riemannian manifolds, increase their ability from parts to a whole.
通过本课程的学习，希望学生能初步掌握微分流形的基本概念、方法和技巧，学习从局部到整体的数学技巧。
应用推荐