Rigidity of gradient Einstein shrinkers
Giovanni Catino, Lorenzo Mazzieri, Samuele Mongodi
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Source: Crossref
Published: Oct 29, 2015
DOI: 10.1142/s0219199715500467
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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. B27(2) (2006) 121–142] and we classify noncompact gradient shrinkers with bounded non-negative sectional curvature.
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