A characterization of hyperbolic affine flat, affine minimal surfaces in A(3)

作者：Clelland Jeanne N^*; Miller Jonah M

来源：Differential Geometry and its Applications, 2014, 36: 134-148.

DOI：10.1016/j.difgeo.2014.08.003

• Hyperbolic surface
• Affine flat surface
• Affine minimal surface
• Improper affine sphere
• Equiaffine space
• Method of moving frames

We investigate the geometric properties of hyperbolic affine flat, affine minimal surfaces in the equiaffine space A(3). We use Cartan's method of moving frames to compute a complete set of local invariants for such surfaces. Using these invariants, we give a complete local classification of such surfaces and construct new examples.

• 出版日期2014-10