Recognizable classification of Lorentzian distance-squared mappings

Shunsuke Ichiki; Takashi Nishimura

doi:10.1016/j.geomphys.2014.03.005

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arXiv · 1306.4553

Recognizable classification of Lorentzian distance-squared mappings

Shunsuke Ichiki·Takashi Nishimura

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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.

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BibTeX RIS

Shunsuke Ichiki, Takashi Nishimura. 2013-06-19. Recognizable classification of Lorentzian distance-squared mappings. https://doi.org/10.1016/j.geomphys.2014.03.005

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