Rigidity of noncompact manifolds with cyclic parallel Ricci curvature
Annales Polonici Mathematici (2014)
- Volume: 112, Issue: 1, page 101-108
- ISSN: 0066-2216
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topYi Hua Deng. "Rigidity of noncompact manifolds with cyclic parallel Ricci curvature." Annales Polonici Mathematici 112.1 (2014): 101-108. <http://eudml.org/doc/281102>.
@article{YiHuaDeng2014,
abstract = {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.},
author = {Yi Hua Deng},
journal = {Annales Polonici Mathematici},
keywords = {noncompact manifolds; cyclic parallel Ricci curvature; Weyl tensor; Sobolev constant},
language = {eng},
number = {1},
pages = {101-108},
title = {Rigidity of noncompact manifolds with cyclic parallel Ricci curvature},
url = {http://eudml.org/doc/281102},
volume = {112},
year = {2014},
}
TY - JOUR
AU - Yi Hua Deng
TI - Rigidity of noncompact manifolds with cyclic parallel Ricci curvature
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 1
SP - 101
EP - 108
AB - 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.
LA - eng
KW - noncompact manifolds; cyclic parallel Ricci curvature; Weyl tensor; Sobolev constant
UR - http://eudml.org/doc/281102
ER -
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