English

Pseudospherical surfaces on time scales

Differential Geometry 2007-05-23 v1 Classical Analysis and ODEs

Abstract

We define and discuss the notion of pseudospherical surfaces in asymptotic coordinates on time scales. Two special cases, namely dicrete pseudospherical surfaces and smooth pseudosperical surfaces are consistent with this description. In particular, we define the Gaussian curvature in the discrete case.

Keywords

Cite

@article{arxiv.math/0702098,
  title  = {Pseudospherical surfaces on time scales},
  author = {Jan L. Cieslinski},
  journal= {arXiv preprint arXiv:math/0702098},
  year   = {2007}
}

Comments

13 pages