ON QUASI CONFORMAL CURVATURE TENSOR IN A RIEMANNIAN MANIFOLD

Lovejoy S. Das; Ram Nivas; Rupali Agnihotri

首页> 外文期刊>Algebras, groups and geometries >ON QUASI CONFORMAL CURVATURE TENSOR IN A RIEMANNIAN MANIFOLD

【24h】

ON QUASI CONFORMAL CURVATURE TENSOR IN A RIEMANNIAN MANIFOLD

机译：Rimannian流形中的准保形曲率张量

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, we have shown that a quasi conformally flat manifold is an Einstein manifold of constant curvature, provided that a + b(n - 2) ≠ 0, where a, b are suitable constants and vice-versa. The necessary and sufficient condition for a Riemannian manifold to be quasi conformally conservative has also been established. Some other interesting results have also been established.

机译：在本文中，我们证明了准保形平坦流形是恒定曲率的爱因斯坦流形，条件是a + b（n-2）≠0，其中a，b是合适的常数，反之亦然。还建立了黎曼流形拟保形保守的充要条件。还建立了一些其他有趣的结果。

著录项

来源
《Algebras, groups and geometries》 |2011年第4期|381-386|共6页
作者
Lovejoy S. Das; Ram Nivas; Rupali Agnihotri;
展开▼
作者单位

Department of Mathematics Kent State University New Philadelphia, OH 44663;

Department of Mathematics and Astronomy Lucknow University Lucknow India 226007;

Department of Mathematics and Astronomy Lucknow University Lucknow India 226007;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
riemannian manifold; curvature tensor; quasi conformal curvature tensor; einstein manifold;

机译：黎曼流形曲率张量准保形曲率张量;爱因斯坦流形;

相似文献

外文文献
中文文献
专利

1. Conformal Riemannian P-manifolds with connections whose curvature tensors are Riemannian P-tensors [J] . Dobrinka Gribacheva, Dimitar Mekerov Journal of geometry . 2014,第2期

机译：具有曲率张量为黎曼P张量的连接的保形黎曼P流形
2. On conformal and quasi-conformal curvature tensors of an $N(k)$-quasi Einstein manifold [J] . Aliakbar Hosseinzadeh, Abolfazl Taleshian Communications of the Korean Mathematical Society . 2012,第2期

机译：关于$ N（k）$-拟爱因斯坦流形的共形和拟形曲率张量
3. A Global Rigidity Theorem for the Length of Concircular Curvature Tensor on the Locally Conformally Symmetric Riemannian Manifold [J] . Shipei HU 数学研究及应用：英文版 . 2020,第002期

机译：局部保形对称黎曼流形上圆曲率张量长度的整体刚性定理
4. Projective Mappings and Dimensions of Vector Spaces of three types of Killing-Yano Tensors on Pseudo Riemannian Manifolds of Constant Curvature [C] . Josef Mikes, Sergey Stepanov, Irena Hinterleitner International Fall Workshop on Geometry and Physics . 2012

机译：持续曲率伪riemannian歧管的三种杀戮yano张量的投影映射和尺寸
5. Harmonic mean curvature flow in Riemannian manifolds and Ricci flow on noncompact manifolds. [D] . Xu, Guoyi. 2010

机译：黎曼流形中的调和平均曲率流和非紧流形上的Ricci流。
6. ON RIEMANNIAN MANIFOLDS WITH CONSTANT SCALAR CURVATURE ADMITTING A CONFORMAL TRANSFORMATION GROUP [O] . Kentaro Yano 1966

机译：具有恒定标量曲率的Rimannian流形并允许保形变换群
7. Conformal Riemannian P-manifolds with connections whose curvature tensors are Riemannian P-tensors [O] . Dobrinka Gribacheva, Dimitar Mekerov 2013

机译：与连接的连接，曲率张量是riemannian p-tensors的连接

ON QUASI CONFORMAL CURVATURE TENSOR IN A RIEMANNIAN MANIFOLD

摘要

著录项

相似文献

相关主题

期刊订阅