Normal curvatures of asymptotically constant graphs and Carathéodory’s conjecture

DOI10.1090/S0002-9939-2012-11420-0zbMath1276.53006arXiv1101.3031WikidataQ56864055 ScholiaQ56864055MaRDI QIDQ2846857

Mohammad Ghomi, Ralph Howard

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3031

zbMATH Keywords

Möbius inversionCarathéodory conjectureLoewner conjecturedivergence theoremparallel surfaceumbilical pointprincipal line

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Surfaces in Euclidean and related spaces (53A05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (6)

On conformal points of area preserving maps and related topics ⋮ On umbilic points on newly Born surfaces ⋮ Möbius inversion of surfaces in the Minkowski 3-space ⋮ Umbilic singularities and lines of curvature on ellipsoids of \(\mathbb{R}^{4}\) ⋮ \(C^1\)-umbilics with arbitrarily high indices ⋮ Finding umbilics on open convex surfaces

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