Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds

Yi Hua Deng, Li Ping Luo, and Li Jun Zhou. "Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds." Annales Polonici Mathematici 115.3 (2015): 235-240. <http://eudml.org/doc/280499>.

@article{YiHuaDeng2015,
abstract = {We discuss the rigidity of Einstein manifolds and generalized quasi-Einstein manifolds. We improve a pinching condition used in a theorem on the rigidity of compact Einstein manifolds. Under an additional condition, we confirm a conjecture on the rigidity of compact Einstein manifolds. In addition, we prove that every closed generalized quasi-Einstein manifold is an Einstein manifold provided μ = -1/(n-2), λ ≤ 0 and β ≤ 0.},
author = {Yi Hua Deng, Li Ping Luo, Li Jun Zhou},
journal = {Annales Polonici Mathematici},
keywords = {rigidity; Einstein manifolds; generalized quasi-Einstein manifold; spherical space form},
language = {eng},
number = {3},
pages = {235-240},
title = {Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds},
url = {http://eudml.org/doc/280499},
volume = {115},
year = {2015},
}

TY - JOUR
AU - Yi Hua Deng
AU - Li Ping Luo
AU - Li Jun Zhou
TI - Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds
JO - Annales Polonici Mathematici
PY - 2015
VL - 115
IS - 3
SP - 235
EP - 240
AB - We discuss the rigidity of Einstein manifolds and generalized quasi-Einstein manifolds. We improve a pinching condition used in a theorem on the rigidity of compact Einstein manifolds. Under an additional condition, we confirm a conjecture on the rigidity of compact Einstein manifolds. In addition, we prove that every closed generalized quasi-Einstein manifold is an Einstein manifold provided μ = -1/(n-2), λ ≤ 0 and β ≤ 0.
LA - eng
KW - rigidity; Einstein manifolds; generalized quasi-Einstein manifold; spherical space form
UR - http://eudml.org/doc/280499
ER -