Dirac and Plateau Billiards in Domains with Corners

2018/11/10 by Misha Gromov, Gromov, Misha · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1811.04318

openalex publication_date 2018/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study metrics with positive scalar curvatures in domains with corners and suggest possible extensions of the concept of positive scalar curvature to singular spaces.

Citations

• Solution of the Plateau problem for m-dimensional surfaces of varying topological type

Cited by

• Small scale index theory, scalar curvature, and Gromov's simplicial norms
• Mass and polyhedra in asymptotically hyperbolic manifolds
• Geometric Convergence to an Extreme Limit Space with nonnegative scalar curvature

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• Developments around positive sectional curvature
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