Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry

@inproceedings{Herranz2000TrigonometryOS,
  title={Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry},
  author={Francisco J. Herranz and Ram{\'o}n H Castro Ortega and Mariano Santander},
  year={2000}
}
A new method to obtain trigonometry for the real spaces of constant curvature and metric of any (even degenerate) signature is presented. The method could be described as `curvature/signature (in)dependent trigonometry' and encapsulates trigonometry for all these spaces into a single basic trigonometric group equation. This brings to its logical end the idea of an `absolute trigonometry', and provides equations which hold true for the nine two-dimensional spaces of constant curvature and any… CONTINUE READING

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