Smoothing out positively curved metric cones by Ricci expanders
Differential Geometry
2015-03-02 v1
Abstract
We investigate the possibility of desingularizing a positively curved metric cone by an expanding gradient Ricci soliton with positive curvature operator. This amounts to study the deformation of such geometric structures. As a consequence, we prove that the moduli space of conical positively curved gradient Ricci expanders is connected.
Keywords
Cite
@article{arxiv.1502.07921,
title = {Smoothing out positively curved metric cones by Ricci expanders},
author = {Alix Deruelle},
journal= {arXiv preprint arXiv:1502.07921},
year = {2015}
}
Comments
56 pages