In this paper, we consider a perturbation of the Ricci solitons equation proposed in [J.-P. Bourguignon, Ricci curvature and Einstein metrics, in Global Differential Geometry and Global Analysis, Lecture Notes in Mathematics, Vol. 838 (Springer, Berlin, 1981), pp. 42-63] and studied in [H.-D. Cao, Geometry of Ricci solitons, Chinese Ann. Math. Ser. B 27(2) (2006) 121-142] and we classify noncompact gradient shrinkers with bounded non-negative sectional curvature.

Catino, G., Mazzieri, L., Mongodi, S. (2015). Rigidity of gradient Einstein shrinkers. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 17(6) [10.1142/S0219199715500467].

Rigidity of gradient Einstein shrinkers

Mongodi S.
2015

Abstract

In this paper, we consider a perturbation of the Ricci solitons equation proposed in [J.-P. Bourguignon, Ricci curvature and Einstein metrics, in Global Differential Geometry and Global Analysis, Lecture Notes in Mathematics, Vol. 838 (Springer, Berlin, 1981), pp. 42-63] and studied in [H.-D. Cao, Geometry of Ricci solitons, Chinese Ann. Math. Ser. B 27(2) (2006) 121-142] and we classify noncompact gradient shrinkers with bounded non-negative sectional curvature.
Articolo in rivista - Articolo scientifico
Einstein manifolds; Ricci flow; Ricci solitons;
English
2015
17
6
1550046
reserved
Catino, G., Mazzieri, L., Mongodi, S. (2015). Rigidity of gradient Einstein shrinkers. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 17(6) [10.1142/S0219199715500467].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/349840
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