Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds

• Autorzy: Yi Hua Deng , Li Ping Luo , Li Jun Zhou
• Języki publikacji: EN

Abstrakty

EN

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.

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: 2015
• Tom: 115
• Numer: 3
• Strony: 235-240

Daty

wydano

2015

Twórcy

autor

Yi Hua Deng

• College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China

autor

Li Ping Luo

• College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China

autor

Li Jun Zhou

• College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China

Identyfikatory

DOI

10.4064/ap115-3-3