Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds
Copyright policy )Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds
Summary: 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 \(\mu =-{1/(n-2)}\), \(\lambda \leq 0\) and \(\beta \leq 0\).
- Hengyang Normal University China (People's Republic of)
- Hengyang Normal University China (People's Republic of)
Special Riemannian manifolds (Einstein, Sasakian, etc.), rigidity, Einstein manifolds, spherical space form, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, generalized quasi-Einstein manifold
Special Riemannian manifolds (Einstein, Sasakian, etc.), rigidity, Einstein manifolds, spherical space form, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, generalized quasi-Einstein manifold
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