On umbilic points on newly Born surfaces

DOI10.1007/s00574-017-0037-9zbMath1387.53010OpenAlexW2612369742WikidataQ125852529 ScholiaQ125852529MaRDI QIDQ1691487

Farid Tari, Masaru Hasegawa

Publication date: 16 January 2018

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-017-0037-9

zbMATH Keywords

singularitiessurfaceslines of principal curvatureumbilic points

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Critical points of functions and mappings on manifolds (58K05)

Related Items (1)

On the multiplicity of umbilic points

Cites Work

• Umbilics of surfaces in the Minkowski 3-space
• Self-adjoint operators on surfaces with singular metrics
• Singularities of \(\mathbb{R} P^2\)-valued Gauss maps of surfaces in Minkowski 3-space
• Parabolic, ridge and sub-parabolic curves on implicit surfaces with singularities
• Geodesics on an ellipsoid in Minkowski space
• Normal curvatures of asymptotically constant graphs and Carathéodory’s conjecture
• Complete transversals and the classification of singularities
• On binary differential equations
• On binary differential equations and umbilics
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