The index of isolated umbilics on surfaces of non-positive curvature

DOI10.4171/LEM/61-1/2-6zbMath1336.53009arXiv1404.2577MaRDI QIDQ5963022

Francisco Fontenele, Frederico Xavier

Publication date: 25 February 2016

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2577

zbMATH Keywords

Carathéodory conjectureindex of an umbilical pointLoewner conjectureprincipal curvature lines

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Foliations (differential geometric aspects) (53C12) Surfaces in Euclidean and related spaces (53A05) Flows on surfaces (37E35)

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Umbilics of surfaces in the Lorentz-Minkowski 3-space ⋮ Elipsoid Monge’a i konfiguracje linii krzywiznowych na powierzchniach i przestrzeniach euklidesowych – uwagi historyczne

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