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- In this paper, we investigate the whole formulas of the curvature tensor, Ricci curvature and scalar curvature on the singly and doubly warped product on Lorentzian manifolds. 给出了洛伦茨流形上的曲率张量、纯量曲率的计算公式;并推导出了洛伦茨流形上的二重扭积公式.
- Abstract : In this paper,we study compact Riemannian manifolds which Ricci curvature ten-sors are parallel,and establish some pinching theorems for square of length of the Riemanniancurvatuer tensor. 摘要 : 本文研究李奇曲率平行的封闭黎曼流形,证明了黎曼曲率平方的一个拚挤定理。
- The lower bound of Ricci curvature and finite topological type 曲率下界与有限拓扑型
- The first eigenvalue on a compact manifold with positive Ricci curvature 正曲率流形的第一特征值
- The Fundamental Group of Open Manifolds with Nonnegative Ricci Curvature 具有非负Ricci曲率的开流形的基本群
- Important theorem on submanifold in space form with paralled Ricci curvature 常曲率空间中Ricci曲率平行的子流形的一个重要定理及应用
- Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth 具有非负Ricci曲率和大体积增长的开流形
- The Manifolds with Nonnegative Ricci Curvature and Sub-large Volume Growth 具非负Ricci曲率和次大体积增长的流形
- Minimal Submanifolds in a Riemannian Manifolds with Parallel Ricci Curvature 具有平行Ricci曲率黎曼流形中的极小子流形
- The Progress of Riemannian Manifolds with Nonnegative Ricci Curvature and Large Volume Growth 具非负Ricci曲率的大体积增长之黎曼流形研究的进展
- The topology of complete manifolds with nonnegative Ricci curvature and large volume growth 具非负Ricci曲率和大体积增长的完备流形的拓扑
- THE ESTIMATION OF FIRST EIGENVALUE OF COMPACT RIEMANN MANIFOLD WITH NEGATIVE RICCI CURVATURE 负Ricci曲率紧Riemann流形第一特征值的估计
- integral Ricci curvature 积分Ricci曲率
- Ricci curvature Ricci曲率
- nonnegative Ricci curvature 非负Ricci曲率
- parallel Ricci curvature 平行Ricci曲率
- k-th Ricci curvature 第k个Ricci曲率
- non- negative Ricci curvature 具非负Ricci曲率
- Such curvature has no effect on wettability. 这种曲度对润湿性并无影响。
- Having a form or curvature suggestive of a lyre. 象里拉琴的外形和曲线类似里拉琴的