A relation between the curvature ellipse and the curvature parabola

DOI10.1515/advgeom-2019-0002zbMath1422.58007arXiv1708.04651OpenAlexW2964084637WikidataQ127565123 ScholiaQ127565123MaRDI QIDQ2322406

Pedro Benedini Riul, Raul Oset Sinha

Publication date: 4 September 2019

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04651

zbMATH Keywords

second fundamental formasymptotic directionscurvature ellipsecurvature parabolaimmersed surface in 4-spacesingular surface in 3-space

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Critical points of functions and mappings on manifolds (58K05)

Related Items (4)

Relating second order geometry of manifolds through projections and normal sections ⋮ Geometry of surfaces in \(\mathbb{R}^5\) through projections and normal sections ⋮ Singular 3-manifolds in \(\mathbb{R}^5\) ⋮ The axial curvature for corank 1 singular surfaces

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• Inflection points and topology of surfaces in 4-space
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