Stable Gauss maps from a global viewpoint

DOI10.1007/s00574-011-0005-8zbMath1222.57032OpenAlexW1969586969MaRDI QIDQ2430810

C. Mendes de Jesus, S. M. Moraes, María Carmen Romero Fuster

Publication date: 8 April 2011

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

Full work available at URL: http://www.locus.ufv.br/handle/123456789/21888

zbMATH Keywords

graphsglobal classificationparabolic curvecusps of Gauss mapsstable Gauss maps

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Singularities of differentiable mappings in differential topology (57R45) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (5)

Graphs of stable maps between closed orientable surfaces ⋮ Realization of graphs by fold Gauss maps ⋮ Graphs of stable maps from closed surfaces to the projective plane ⋮ Stable Plane-Gauss Maps on Closed Orientable Surfaces ⋮ Graphs with Weight of Fold Gauss Maps

Cites Work

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• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Stable maps from surfaces to the plane with prescribed branching data
• Stability of Gauss maps
• On the topology of simple fold maps
• First order local invariants of apparent contours
• Sphere stratifications and the Gauss map
• A Global Theorem for Singularities of Maps between Oriented 2-Manifolds
• Graphs of stable maps from closed orientable surfaces to the 2-sphere
• Fold Maps from the Sphere to the Plane
• ON SINGULARITIES OF FOLDING TYPE

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