Geometric contacts of surfaces immersed in \(\mathbb R^n,n\geqslant 5\)

DOI10.1016/j.difgeo.2008.10.020zbMath1176.53015OpenAlexW2068609787WikidataQ115357359 ScholiaQ115357359MaRDI QIDQ1023418

Sueli I. R. Costa, S. M. Moraes, María Carmen Romero Fuster

Publication date: 11 June 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.10.020

zbMATH Keywords

curvature ellipsesemiumbilicsfocal setdistance-squared functions

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Singularities of differentiable mappings in differential topology (57R45) Local submanifolds (53B25) Critical points and critical submanifolds in differential topology (57R70)

Related Items

Isometric immersions with prefixed second order geometry in minimal codimension ⋮ Extrinsic geometry and higher order contacts of surfaces in $\mathbb R^5$ ⋮ The curvature Veronese of a 3-manifold immersed in Euclidean space ⋮ The geometry of corank 1 surfaces in ℝ4 ⋮ 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 \(\mathbb{R}^5\)

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