Umbilics of surfaces in the Lorentz-Minkowski 3-space

DOI10.1007/s00025-023-02013-2zbMath1530.53009arXiv2305.07196OpenAlexW4387134405MaRDI QIDQ6078332

Naoya Ando, Masaaki Umehara

Publication date: 24 October 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.07196

zbMATH Keywords

Carathéodory conjectureumbiliccurvature line flowRibaucour's parametrization

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Umbilics of surfaces in the Minkowski 3-space
• \(C^1\)-umbilics with arbitrarily high indices
• Ribaucour coordinates
• Differential Geometry of Curves and Surfaces
• The index of isolated umbilics on surfaces of non-positive curvature

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