A note on curvature of Riemannian manifolds

作者：Mastrolia Paolo^*; Monticelli Dario D; Rigoli Marco

来源：Journal of Mathematical Analysis and Applications, 2013, 399(2): 505-513.

DOI：10.1016/j.jmaa.2012.10.044

• Constant sectional curvature
• Einstein manifolds
• Stochastic completeness
• Trace-free Ricci tensor
• Weak maximum principle at infinity

With the aid of the weak maximum principle at infinity we give some sufficient conditions for Riemannian manifolds to be either Einstein or of constant sectional curvature.

• 出版日期2013-3-15