Two-dimensional gradient Ricci solitons revisited
Differential Geometry
2015-03-26 v2
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.
Cite
@article{arxiv.1303.6854,
title = {Two-dimensional gradient Ricci solitons revisited},
author = {Jacob Bernstein and Thomas Mettler},
journal= {arXiv preprint arXiv:1303.6854},
year = {2015}
}
Comments
15 pages, 3 figures. Corrected statement and proof of Theorem 2 and removed Corollary 1