Bonnet pairs of surfaces in Minkowski space

Robert Salom

Bonnet pairs of surfaces in Minkowski space

Differential Geometry 2012-05-04 v2

Authors: Robert Salom

Abstract

In this note we consider the problem of local classification of Bonnet pairs of surfaces in 3-dimensional Minkowski space. We use split quaternions in a way similar to the use of quaternions in, arXiv:dg-ga/9610006, for the solution in Euclidean 3-Space.

Keywords

Bonnet pairs Minkowski space split quaternions local classification surfaces

Cite

@article{arxiv.1205.0071,
  title  = {Bonnet pairs of surfaces in Minkowski space},
  author = {Robert Salom},
  journal= {arXiv preprint arXiv:1205.0071},
  year   = {2012}
}

Comments

This paper has been withdrawn by the author due to major overlap with the paper Lorentzian isothermic surfaces and Bonnet pairs in Annales Polonici 83.2 by M. Magid