A maximum principle for Hermitian (and other) metrics

Lempert, László

doi:10.1090/S0002-9939-2015-12472-0

A maximum principle for Hermitian (and other) metrics
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Proc. Amer. Math. Soc. 143 (2015), 2193-2200 Request permission

Abstract:

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

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