On Equivariant Vector Fields of Riemannian Symmetric Spaces

ZHONG De-shou

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On Equivariant Vector Fields of Riemannian Symmetric Spaces

更新时间：2026-07-10

- On Equivariant Vector Fields of Riemannian Symmetric Spaces
- Vol. 16, Issue 6, Pages: 90-92(2011)
- 作者机构：
  
  中国青年政治学院经济系
- 作者简介：
- 基金信息：
- DOI：
  CLC： O186.12
- Published：2011
- 稿件说明：
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ZHONG De-shou. On Equivariant Vector Fields of Riemannian Symmetric Spaces[J]. 2011, 16(6): 90-92.
DOI：

ZHONG De-shou. On Equivariant Vector Fields of Riemannian Symmetric Spaces[J]. 2011, 16(6): 90-92. DOI：

摘要

定义了Riemann对称空间上的等变向量场

并研究其基本性质

推导出沿测地线求协变联络的一个公式.并将这些结果应用于研究Riemann对称空间的截面曲率

给出推导截面曲率公式的一个简洁方式.

Abstract

In the paper

we have defined equivariant vector field on Riemann symmetric space and Studied its basic properties.We give a formula to obtain covariant contact along geodesic curves.In the end

we use these results to study the section curvature of Riemann symmetric space and give a method to deduce section curvature.

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