Realizing a singular first fundamental form as a nonimmersed surface in Euclidean 3-space

DOI10.1007/s00022-004-2511-yzbMath1075.53005OpenAlexW2003266043MaRDI QIDQ1775242

Marek Kossowski

Publication date: 6 May 2005

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-004-2511-y

zbMATH Keywords

isometric immersionsingular hypersurfaceresolvable surfacesingular first fundamental form

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Algebraic topology of manifolds (57N65) Real algebraic and real-analytic geometry (14P99)

Related Items (9)

Isometric deformations of cuspidal edges ⋮ The fundamental theorem for singular surfaces with limiting tangent planes ⋮ The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications ⋮ Extendibility and boundedness of invariants on singularities of wavefronts ⋮ Duality on generalized cuspidal edges preserving singular set images and first fundamental forms ⋮ Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space ⋮ Isometric deformations of wave fronts at non-degenerate singular points ⋮ Total curvature for \(C^\infty\)-singular surfaces with limiting tangent bundle ⋮ Intrinsic properties of surfaces with singularities

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