Rotational surfaces of prescribed Gauss curvature in \(\mathbb{R}^3\)

DOI10.2748/tmj.20220627arXiv2201.07057MaRDI QIDQ6203869

Antonio Bueno, Irene Ortiz

Publication date: 8 April 2024

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07057

zbMATH Keywords

asymptotic behaviorradial solutionprescribed Gauss curvaturenonlinear autonomous system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Ordinary differential equations and systems on manifolds (34C40)

Cites Work

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• The global geometry of surfaces with prescribed mean curvature in ℝ³
• On the Third Fundamental Form of a Surface
• The Weyl and Minkowski problems in differential geometry in the large

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