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.
@article{hal-00003224,
author = {Meneghini, Claudio},
title = {Clifton-Pohl torus and geodesic completeness by a 'complex' point of view},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00003224}
}
Meneghini, Claudio. Clifton-Pohl torus and geodesic completeness by a 'complex' point of view. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003224/