Axial curvatures for corank 1 singular \(n\)-manifolds in \(\mathbb{R}^{n+k}\)

DOI10.1007/s13398-023-01506-7arXiv2204.06606MaRDI QIDQ6085353

J. L. Deolindo-Silva, Pedro Benedini Riul, Raul Oset Sinha

Publication date: 8 November 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.06606

zbMATH Keywords

second order geometryfrontalsumbilic curvatureaxial curvaturesingular manifolds in Euclidean spaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Singularities of differentiable mappings in differential topology (57R45) Critical points of functions and mappings on manifolds (58K05)

Cites Work

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• Intrinsic invariants of cross caps
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• The curvature Veronese of a 3-manifold immersed in Euclidean space
• Differential Geometry from a Singularity Theory Viewpoint
• The geometry of corank 1 surfaces in ℝ4
• Surfaces in $\mathbb{R}^4$ and their projections to 3-spaces

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