Clifton-Pohl torus and geodesic completeness by a 'complex' point of view

Claudio Meneghini (1)

1 DIP.MAT - dipartimento di matematica

We show that a natural complexification and a mild generalization of the idea of completeness guarantee geodesic completeness of Clifton-Pohl torus; we explicitely compute all of its geodesics.

Domaines: Variables complexes [math.CV]

Claudio Meneghini. Clifton-Pohl torus and geodesic completeness by a 'complex' point of view. 2004. ⟨hal-00003224⟩