Folding maps on spacelike and timelike surfaces and duality
Izumiya, Shyuichi ; Takahashi, Masatomo ; Tari, Farid
Osaka J. Math., Tome 47 (2010) no. 1, p. 839-862 / Harvested from Project Euclid
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We study the reflectional symmetry of a generically embedded $2$-dimensional surface $M$ in the hyperbolic or de Sitter $3$-dimensional spaces. This symmetry is picked up by the singularities of folding maps that are defined and studied here. We also define the evolute and symmetry set of $M$ and prove duality results that relate them to the bifurcation sets of the family of folding maps.
Publié le : 2010-09-15
Classification:  53A35,  58C30,  57R45 
@article{1285334477,
     author = {Izumiya, Shyuichi and Takahashi, Masatomo and Tari, Farid},
     title = {Folding maps on spacelike and timelike surfaces and duality},
     journal = {Osaka J. Math.},
     volume = {47},
     number = {1},
     year = {2010},
     pages = { 839-862},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285334477}
}

Izumiya, Shyuichi; Takahashi, Masatomo; Tari, Farid. Folding maps on spacelike and timelike surfaces and duality. Osaka J. Math., Tome 47 (2010) no. 1, pp.  839-862. http://gdmltest.u-ga.fr/item/1285334477/