A weaker geodesic completeness and Clifton-Pohl torus
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We propose a new definition of geodesic completeness, based on analytical continuation in the complex domain: we apply this idea to Clifton-Pohl torus, relating, for each geodesic, completeness to the value of a function of initial conditions, called 'impulse'.
Cite
@article{arxiv.math-ph/0210049,
title = {A weaker geodesic completeness and Clifton-Pohl torus},
author = {Claudio Meneghini},
journal= {arXiv preprint arXiv:math-ph/0210049},
year = {2007}
}