Recognizable classification of Lorentzian distance-squared mappings
Geometric Topology
2015-06-16 v3
Abstract
The Lorentzian length, which is one of the most significant functions in Lorentzian geometry, is a complex-valued function. Its square gives a real-valued non-degenerate quadratic function. In this paper, we define naturally extended mappings of Lorentzian distance-squared functions, wherein each component is a Lorentzian distance-squared function; and classify these mappings completely by the likeness of recognition subspaces.
Keywords
Cite
@article{arxiv.1306.4553,
title = {Recognizable classification of Lorentzian distance-squared mappings},
author = {Shunsuke Ichiki and Takashi Nishimura},
journal= {arXiv preprint arXiv:1306.4553},
year = {2015}
}