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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, then M is Einstein, provided the Sobolev constant is positive and an int...

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