Folding maps on spacelike and timelike surfaces and duality

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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.

• Department of Mathematics, Graduate School of Science, Osaka Universityの論文

Department of Mathematics, Graduate School of Science, Osaka University | 論文

• Folding maps on spacelike and timelike surfaces and duality

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