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arXiv · 1303.6854

Two-dimensional gradient Ricci solitons revisited

Jacob Bernstein·Thomas Mettler
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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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Jacob Bernstein, Thomas Mettler. 2013-03-28. Two-dimensional gradient Ricci solitons revisited. https://doi.org/10.1093/imrn%2Frnt177

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