Defining curvature as a measure via Gauss-Bonnet on certain singular surfaces

DOI10.1007/s12220-018-00129-4zbMath1443.53006arXiv1806.11478OpenAlexW2963152226WikidataQ128625526 ScholiaQ128625526MaRDI QIDQ2303787

Robert S. Strichartz

Publication date: 5 March 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.11478

zbMATH Keywords

spectral asymptoticsgluingline and point singularities

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Classical measure theory (28A99)

Related Items (2)

Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics ⋮ From Strichartz Estimates to Differential Equations on Fractals

Cites Work

• Ricci measure for some singular Riemannian metrics
• Average number of lattice points in a disk
• Average error for spectral asymptotics on surfaces
• Precise spectral asymptotics for elliptic operators acting in fiberings over manifolds with boundary
• A CONVEX SURFACE WITH FRACTAL CURVATURE
• Can One Hear the Shape of a Drum?

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