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Smoothing out positively curved metric cones by Ricci expanders

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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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  1. Département de Mathématiques, Faculté des Sciences, Université Paris-Sud 11, Bâtiment 425, 91405, Orsay, France

    Alix Deruelle

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  1. Alix Deruelle
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Correspondence to Alix Deruelle.

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Deruelle, A. Smoothing out positively curved metric cones by Ricci expanders. Geom. Funct. Anal. 26, 188–249 (2016). https://doi.org/10.1007/s00039-016-0360-0

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