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arXiv · 1502.07921

Smoothing out positively curved metric cones by Ricci expanders

Alix Deruelle
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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.

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Alix Deruelle. 2015-02-27. Smoothing out positively curved metric cones by Ricci expanders. https://arxiv.org/abs/1502.07921

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