Rigidity of noncompact manifolds with cyclic parallel Ricci curvature
Yi Hua Deng
Annales Polonici Mathematici, Tome 111 (2014), p. 101-108 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:281102 
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     author = {Yi Hua Deng},
     title = {Rigidity of noncompact manifolds with cyclic parallel Ricci curvature},
     journal = {Annales Polonici Mathematici},
     volume = {111},
     year = {2014},
     pages = {101-108},
     zbl = {1310.53037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-1-8}
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Yi Hua Deng. Rigidity of noncompact manifolds with cyclic parallel Ricci curvature. Annales Polonici Mathematici, Tome 111 (2014) pp. 101-108. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-1-8/