Meromorphic differentials with twisted coefficients on compact Riemann surfaces
Differential Geometry
2007-05-23 v1 Complex Variables
Abstract
This note is to concern a generalization to the case of twisted coefficients of the classical theory of Abelian differentials on a compact Riemann surface. We apply the Dirichlet's principle to a modified energy functional to show the existence of differentials with twisted coefficients of the second and third kinds under a suitable assumption on residues.
Cite
@article{arxiv.math/0703542,
title = {Meromorphic differentials with twisted coefficients on compact Riemann surfaces},
author = {Yi-Hu Yang},
journal= {arXiv preprint arXiv:math/0703542},
year = {2007}
}
Comments
20 pages