Geometry of the parabolic subset of generically immersed 3-manifolds in \(\mathbb{R}^4\)

DOI10.1007/S40687-024-00450-1zbMATH Open1546.53061MaRDI QIDQ6546411

Carmen Romero-Fuster, M. C. Zanardo, Ana Claudia Nabarro

Publication date: 29 May 2024

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

local singularitiesheight functionsparabolic subsets of 3-manifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Critical points of functions and mappings on manifolds (58K05)

Cites Work

• Title not available (Why is that?)
• 3-manifolds in Euclidean space from a contact viewpoint
• The geometry of surfaces in 4-space from a contact viewpoint
• Gauss maps on canal hypersurfaces of generic curves in \(\mathbb{R}^4\)
• Differential Geometry from a Singularity Theory Viewpoint
• DUALITY AND CONTACT OF HYPERSURFACES IN $\mathbb{R}^4$ WITH HYPERPLANES AND LINES
• FAMILIES OF SURFACES IN ℝ⁴

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