|
|||||
|
|
Representation formula for discrete indefinite affine spheres |
|
| Affiliation: | 1. Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan;2. Department of Education and Creation Engineering, Kurume Institute of Technology, Kurume 830-0052, Japan |
| Abstract: | We present a representation formula for discrete indefinite affine spheres via loop group factorizations. This formula is derived from the Birkhoff decomposition of loop groups associated with discrete indefinite affine spheres. In particular we show that a discrete indefinite improper affine sphere can be constructed from two discrete plane curves. |
| Keywords: | Affine sphere Tzitzeica equation Liouville equation Discrete differential geometry Discrete integrable systems Loop group |
| 本文献已被 ScienceDirect 等数据库收录！ | |