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Meromorphic differentials with twisted coefficients on compact Riemann surfaces

Yi-Hu Yang
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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.

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Yi-Hu Yang. 2007-03-19. Meromorphic differentials with twisted coefficients on compact Riemann surfaces. https://arxiv.org/abs/math/0703542

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