Geodesic
Rigidity of noncompact manifolds with cyclic parallel Ricci curvature
Yi Hua Deng1
1 Department of Mathematics and Computational Science Hengyang Normal University 421002 Hengyang, China
Annales Polonici Mathematici, Tome 112 (2014) no. 1, pp. 101-108 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 integral inequality is satisfied.
DOI : 10.4064/ap112-1-8
Keywords: prove complete noncompact riemannian manifold whose ricci tensor cyclic parallel whose scalar curvature nonpositive einstein provided sobolev constant positive integral inequality satisfied

Yi Hua Deng 1

1 Department of Mathematics and Computational Science Hengyang Normal University 421002 Hengyang, China 
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Yi Hua Deng. Rigidity of noncompact manifolds with cyclic parallel Ricci curvature. Annales Polonici Mathematici, Tome 112 (2014) no. 1, pp. 101-108. doi: 10.4064/ap112-1-8

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