3 papers
math-ph2002
A weaker geodesic completeness and Clifton-Pohl torus
Claudio Meneghini
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,…
math.CV2002
Geodesic completeness for some meromorphic metrics
Claudio Meneghini
In this paper we investigate possible extensions of the idea of geodesic completeness in complex manifolds, following two directions: metrics are somewhere allowed not to be of max…
math.CV2001
Painlevé's theorem extended
Claudio Meneghini
We extend Painlevé's determinateness theorem from the theory of ordinary differential equations in the complex domain allowing more general 'multiple-valued' Cauchy's problems. We…