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.

A note on curvature of Riemannian manifolds / P. Mastrolia, D.D. Monticelli, M. Rigoli. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 399:2(2013), pp. 505-513.

A note on curvature of Riemannian manifolds

P. Mastrolia
Primo
;
D.D. Monticelli
Secondo
;
M. Rigoli
Ultimo
2013

Abstract

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.
Constant sectional curvature; Einstein manifolds; Stochastic completeness; Trace-free Ricci tensor; Weak maximum principle at infinity
Settore MAT/03 - Geometria
Settore MAT/05 - Analisi Matematica
2013
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/219378
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