Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Rigidity of noncompact manifolds with cyclic parallel Ricci curvature

100%

Deng Y.

Annales Polonici Mathematici

2014

tom 112

nr 1

101-108

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.

Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds

51%

Deng Y., Luo L., Zhou L.

Annales Polonici Mathematici

2015

tom 115

nr 3

235-240

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.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Deng Y.

1 Luo L.

1 Zhou L.

1 2015

1 2014

Wyniki wyszukiwania

Rigidity of noncompact manifolds with cyclic parallel Ricci curvature

Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds