The space of positive Ricci curvature metrics on spin manifolds

Bradley Lewis Burdick

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arXiv · 2009.06199

The space of positive Ricci curvature metrics on spin manifolds

Bradley Lewis Burdick

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Abstract

In this note we show that the space of all metrics of positive Ricci curvature on a spin manifold of dimension 4k-1 for k at least 2 has infinitely many path components provided that the manifold admits a very particular kind of metric.

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BibTeX RIS

Bradley Lewis Burdick. 2020-09-14. The space of positive Ricci curvature metrics on spin manifolds. https://arxiv.org/abs/2009.06199

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