Generic geometry of stable maps of 3-manifolds into \(\mathbb{R}^4\)

DOI10.1007/s00574-020-00217-6zbMath1486.57040OpenAlexW3037519050MaRDI QIDQ2042226

C. Casonatto, R. G. Wik Atique, María Carmen Romero Fuster

Publication date: 28 July 2021

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-020-00217-6

zbMATH Keywords

singularitiescontactsflat geometry3D-crosscap

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Singularities of differentiable mappings in differential topology (57R45)

Cites Work

• The Taylor expansion of the exponential map and geometric applications
• 3-manifolds in Euclidean space from a contact viewpoint
• Topological invariants of stable maps of oriented 3-manifolds in \(\mathbb {R}^4\)
• The geometry of surfaces in 4-space from a contact viewpoint
• On singularities of submanifolds of higher dimensional Euclidean spaces
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
• The normal singularities of a submanifold
• Sphere stratifications and the Gauss map
• On Generic Composites of Maps
• Differential Geometry from a Singularity Theory Viewpoint
• Complete transversals and the classification of singularities
• Functions on a crosscap
• DUALITY AND CONTACT OF HYPERSURFACES IN $\mathbb{R}^4$ WITH HYPERPLANES AND LINES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generic geometry of stable maps of 3-manifolds into \(\mathbb{R}^4\)