English

A maximum principle for hermitian (and other) metrics

Complex Variables 2013-09-13 v1

Abstract

We consider homomorphisms of hermitian holomorphic Hilbert bundles. Assuming the homomorphism decreases curvature, we prove that its pointwise norm is plurisubharmonic.

Keywords

Cite

@article{arxiv.1309.2972,
  title  = {A maximum principle for hermitian (and other) metrics},
  author = {Laszlo Lempert},
  journal= {arXiv preprint arXiv:1309.2972},
  year   = {2013}
}

Comments

10 pages

R2 v1 2026-06-22T01:25:15.406Z