A weaker geodesic completeness and Clifton-Pohl torus

Details A weaker geodesic completeness and Clifton-Pohl torus A weaker geodesic completeness and Clifton-Pohl torus

2002-10-29

arxiv.org/abs/math-ph/0210049v1

Physics

Mathematical Physics

Scientific paper

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'.

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