A Dirichlet problem in noncommutative potential theory

2018/04/14 by Kuang-Ru Wu, Wu, Kuang-Ru
Mathematics · #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG

paper · pdf · doi:10.48550/arxiv.1804.05278

12 pages

arxiv created 2018/04/14 · arxiv updated 2018/04/17

Abstract

We prove the solvability of a Dirichlet problem for flat hermitian metrics on Hilbert bundles over compact Riemann surfaces with boundary. We also prove a factorization result for flat hermitian metrics on doubly connected domains.

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