Published Paper
Inserted: 8 nov 2016
Last Updated: 11 dec 2020
Journal: Math. Z.
Volume: 282
Number: 1-2
Pages: 247-272
Year: 2016
Doi: 10.1007/s00209-015-1540-6
Abstract:
We prove a Poincar\'e-Bendixson theorem describing the asymptotic behavior of geodesics for a meromorphic connection on a compact Riemann surface. We shall also briefly discuss the case of non-compact Riemann surfaces, and study in detail the geodesics for a holomorphic connection on a complex torus.
Tags:
FIRB2012-DGGFT