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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
2015 - rigidity einstein shrinkers ( w Catino, Mazzieri).pdf
Solo gestori archivio
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Dimensione
267.46 kB
Formato
Adobe PDF
|
267.46 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
