Moduli space of metrics of nonnegative sectional or positive Ricci\n curvature on Brieskorn quotients in dimension 5

2020/06/24 by Jonathan Wermelinger, Wermelinger, Jonathan
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2006.13697

openalex publication_date 2020/06/24 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We show that the moduli space of Riemannian metrics of nonnegative sectional\ncurvature on certain quotients of Brieskorn varieties in dimension 5 has\ninfinitely many path components. The same is true for the corresponding moduli\nspace of positive Ricci curvature.\n

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