Rigidity of noncompact manifolds with cyclic parallel Ricci curvature

• Autorzy: Yi Hua Deng
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 112
• Numer: 1
• Strony: 101-108

Daty

wydano

2014

Twórcy

autor

Yi Hua Deng

• Department of Mathematics and Computational Science, Hengyang Normal University, 421002 Hengyang, China

Identyfikatory

DOI

10.4064/ap112-1-8