Geodesic
Rigidity of noncompact manifolds with cyclic parallel Ricci curvature
Yi Hua Deng1
1Department of Mathematics and Computational Science Hengyang Normal University 421002 Hengyang, China
Annales Polonici Mathematici, Tome 112 (2014) no. 1, pp. 101-108

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
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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