Critical points of higher order for the normal map of immersions in \(\mathbb{R}^d\)

DOI10.1016/j.topol.2011.09.029zbMath1255.57027OpenAlexW2126819971MaRDI QIDQ664672

M. G. Monera, S. M. Moraes, Angel Montesinos Amilibia, Esther Sanabria-Codesal

Publication date: 2 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.09.029

zbMATH Keywords

critical pointsnormal mapellipse of curvaturefocal setstrong principal directionsVeronese of curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Singularities of differentiable mappings in differential topology (57R45) Fiber bundles in algebraic topology (55R10) Geometries with differentiable structure (51H25)

Related Items (2)

Critical points of the Gauss map and the exponential tangent map ⋮ The Taylor expansion of the exponential map and geometric applications

Cites Work

• The Taylor expansion of the exponential map and geometric applications
• On contact between submanifolds
• On singularities of submanifolds of higher dimensional Euclidean spaces
• The normal singularities of a submanifold

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