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Two-dimensional gradient Ricci solitons revisited (1303.6854v2)
Published 27 Mar 2013 in math.DG
Abstract: In this note, we complete the classification of the geometry of non-compact two-dimensional gradient Ricci solitons. As a consequence, we obtain two corollaries: First, a complete two-dimensional gradient Ricci soliton has bounded curvature. Second, we give examples of complete two-dimensional expanding Ricci solitons with negative curvature that are topologically disks and are not hyperbolic space.
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