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Rigidity of noncompact manifolds with cyclic parallel Ricci curvature

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成果类型:
期刊论文
作者:
Deng, Yi Hua*
通讯作者:
Deng, Yi Hua
作者机构:
[Deng, Yi Hua; Deng, YH] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421002, Peoples R China.
通讯机构:
[Deng, Yi Hua] H
Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421002, Peoples R China.
语种:
英文
关键词:
Cyclic parallel Ricci curvature;Noncompact manifolds;Sobolev constant;Weyl tensor
期刊:
ANNALES POLONICI MATHEMATICI
ISSN:
0066-2216
年:
2014
卷:
112
期:
1
页码:
101-108
基金类别:
Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [14JJ2120]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [14A020]; construct program of the key discipline in Hunan province [[2011]76]; Grants-in-Aid for Scientific ResearchMinistry of Education, Culture, Sports, Science and Technology, Japan (MEXT)Japan Society for the Promotion of ScienceGrants-in-Aid for Scientific Research (KAKENHI) [16360308, 05F05099] Funding Source: KAKEN
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
We prove that if M is a complete noncompact Riemannian manifold whose Ricci tensor is cyclic parallel and whose scalar curvature is nonpositive, thenM is Einstein, provided the Sobolev constant is positive and an integral inequality is satisfied. © In...

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