Meromorphic differentials with twisted coefficients on compact Riemann surfaces

Details Meromorphic differentials with twisted coefficients on compact Riemann surfaces Meromorphic differentials with twisted coefficients on compact Riemann surfaces

2007-03-19

arxiv.org/abs/math/0703542v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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.

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