Affine twist deformation of a sphere with holes

作者：Masuda Takayuki^*

来源：Geometriae Dedicata, 2016, 182(1): 249-262.

DOI：10.1007/s10711-015-0137-x

• Lorentzian geometry
• Hyperbolic surface
• Affine deformation
• Twist
• Fenchel-Nielsen coordinates

In this paper, we introduce a new parameter, the affine twist parameter for the affine deformation of a sphere with holes. We show that the affine deformation space can be parametrized by Margulis invariants and affine twist parameters. The affine twist parameter is canonically regarded as a correspondence to the Fenchel-Nielsen twist parameter in Teichmuller theory.

• 出版日期2016-6