2002/04/04 by Claudio Meneghini
Mathematics · Physics and Astronomy · #math.CV #math-ph #math.MP
published as Paru sur Rivista di matematica dell'universit\a di Parma, 4/2001 · C'est un résumé de "Geodesic completeness for meromorphic metrics: the case of coercive ones" de l'auteur; LaTeX; 20 pages
arxiv created 2002/04/04 · arxiv updated 2009/11/30
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 maximum rank, or to have 'poles' somewhere else. Geodesics are eventually defined on Riemann surfaces over regions in the Riemann sphere. Completeness theorems are given in the framework of warped products of Riemann surfaces.