A weaker geodesic completeness and Clifton-Pohl torus
نویسنده
چکیده
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’.
منابع مشابه
Clifton-Pohl torus and geodesic completeness by a 'complex' point of view
We show that a natural complexification and a mild generalization of the idea of completeness guarantee geodesic completeness of CliftonPohl torus; we explicitely compute all of its geodesics.
متن کاملN ov 2 00 4 Clifton - Pohl torus and geodesic completeness by a ’ complex ’ point of view ∗
We show that a natural complexification and a mild generalization of the idea of completeness guarantee geodesic completeness of CliftonPohl torus; we explicitely compute all of its geodesics.
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