The Euler Characteristic of a Generic Wavefront in a 3-Manifold

DOI10.2307/2160097zbMath0785.58011OpenAlexW1551932786MaRDI QIDQ3134719

Shyuichi Izumiya, Washington Luiz Marar

Publication date: 13 September 1993

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/70243

zbMATH Keywords

Euler characteristicwavefrontclosed surfaceLegendrian immersion

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (15)

Invariants of strictly convex manifolds ⋮ Immersions of the projective plane with one triple point ⋮ Characteristic Classes ⋮ On topologically stable singular surfaces in a 3-manifold ⋮ On the number of triple points of an immersed surface with boundary ⋮ The horospherical Gauss-Bonnet type theorem in hyperbolic space ⋮ The intersection graph of an orientable generic surface ⋮ Extrinsic Euler characteristic of a non-immersed hypersurface (focal surfaces, pedal images, and extrinsic Morse indices) ⋮ Dissecting the 2-sphere by immersions ⋮ Singularities of Blaschke normal maps of convex surfaces ⋮ Immersions of surfaces into aspherical 3-manifolds ⋮ A Bose type formula for the internal medial axis of an embedded manifold ⋮ Images of finite maps with one-dimensional double point set ⋮ Total curvature for \(C^\infty\)-singular surfaces with limiting tangent bundle ⋮ Alexander numbering of knotted surface diagrams

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