FOLDING MAPS ON SPACELIKE AND TIMELIKE SURFACES AND DUALITY

作者:Izumiya Shyuichi*; Takahashi Masatomo; Tari Farid
来源:Osaka Journal of Mathematics, 2010, 47(3): 839-862.

摘要

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.

  • 出版日期2010-9