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A Global Rigidity Theorem for the Length of Concircular Curvature Tensor on the Locally Conformally Symmetric Riemannian Manifold
Received:December 31, 2018
Revised:September 04, 2019
Key Words
:
conformally symmetric
Riemannian curvature tensor
concircular curvature vector
Weyl tensor
Schouten tensor
Fund Project
:
Author Name
Affiliation
Shipei HU
Department of Mathematics
,
Jiaxing University
,
Zhejiang 311800
,
P. R. China
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Abstract
:
In this paper, we study the locally conformally symmetric closed Riemannian manifold, and establish a global rigidity theorem for the length of the concircular curvature vector.
Citation:
DOI
:
10.3770/j.issn:2095-2651.2020.02.007
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