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References (20)
-
T. Ohmoto, F. Aicardi (2006)
First order local invariants of apparent contoursTopology, 45
-
John Bruce, P. Giblin, F. Tari (1995)
Families of surfaces: Height functions, Gauss maps and duals -
M. Golubitsky, V. Guillemin (1973)
Stable mappings and their singularities -
K. Sakuma (1994)
On the Topology of Simple Fold MapsTokyo Journal of Mathematics, 17
-
D. Hacon, C. Jesus, M. Fuster (2006)
Fold Maps from the Sphere to the PlaneExperimental Mathematics, 15
-
S. Gusein-Zade, A. Varchenko, V. Arnolʹd (1985)
The classification of critical points, caustics and wave fronts -
D. Hacon, C. Jesus, M. Fuster (2007)
Stable maps from surfaces to the plane with prescribed branching dataTopology and its Applications, 154
-
J. Boardman (1967)
Singularties of differentiable mapsPublications Mathématiques de l'Institut des Hautes Études Scientifiques, 33
-
D. Bleecker, L. Wilson (1978)
Stability of Gauss mapsIllinois Journal of Mathematics, 22
-
D. Hacon, C. Jesus, M. Fuster (2010)
Graphs of stable maps from closed orientable surfaces to the 2-sphereJournal of Singing, 2
-
J.R. Quine (1978)
A global theorem for singularities of maps between oriented 2-manifoldsTrans. AMS, 236
-
J. Èliašberg (1970)
ON SINGULARITIES OF FOLDING TYPEMathematics of The Ussr-izvestiya, 4
-
T. Banchoff, T. Gaffney, C. McCrory (1982)
Cusps of Gauss mappings -
J. Quine (1978)
A global theorem for singularities of maps between oriented 2-manifoldsTransactions of the American Mathematical Society, 236
-
C. Wall (1977)
Geometric properties of generic differentiable manifolds -
V. Guillemin, A. Pollack (1974)
Differential Topology -
J. Bruce, P. Giblin, F. Tari (1996)
Parabolic curves of evolving surfacesInternational Journal of Computer Vision, 17
-
V. Vassiliev (1992)
Complements of Discriminants of Smooth Maps: Topology and Applications -
M. Fuster (1983)
Sphere stratifications and the Gauss mapProceedings of the Royal Society of Edinburgh: Section A Mathematics, 95
-
Y. Ando (2003)
Existence theorems of fold-mapsJapanese journal of mathematics. New series, 30
- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Springer
- Subject
- Mathematics; Theoretical, Mathematical and Computational Physics; Mathematics, general
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-011-0005-8
- Publisher site
- See Article on Publisher Site
Abstract
We associate weighted graphs to stable Gauss maps on orientable closed surfaces immersed in 3-space and prove that any bipartite weighted graph can be associated to some stable Gauss map.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Feb 23, 2011