The Boy-Gauss-Bonnet theorems for \(C^\infty\)-singular surfaces with limiting tangent bundle

DOI10.1023/A:1014239727720zbMath1006.53006OpenAlexW62088312MaRDI QIDQ1597446

Marek Kossowski

Publication date: 30 May 2002

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014239727720

zbMATH Keywords

global Gauss-Bonnet theoremsglobal unit normal vector fieldnonimmersive maps

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Algebraic topology of manifolds (57N65) Critical points of functions and mappings on manifolds (58K05)

Related Items (6)

Extrinsic Euler characteristic of a non-immersed hypersurface (focal surfaces, pedal images, and extrinsic Morse indices) ⋮ The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications ⋮ The Gauss-Bonnet type theorem for future directed fronts in hyperbolic 3-space and de Sitter 3-space ⋮ Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds ⋮ Total curvature for \(C^\infty\)-singular surfaces with limiting tangent bundle ⋮ Intrinsic properties of surfaces with singularities

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