English

A Dirichlet problem in noncommutative potential theory

Complex Variables 2018-04-17 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.1804.05278,
  title  = {A Dirichlet problem in noncommutative potential theory},
  author = {Kuang-Ru Wu},
  journal= {arXiv preprint arXiv:1804.05278},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-23T01:23:48.862Z