Convexity of the Set of k-Admissible Functions on a Compact Kähler Manifold.

We prove in this article using some convex analysis results of A. S. Lewis the log-concavity of spectral elementary symmetric functions on the space of Hermitian matrices, and the convexity of the set of k-admissible functions on compact Kähler manifolds.

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Source https://hal.science/hal-00694502
Author Jbilou, Asma
Maintainer CCSD
Last Updated May 19, 2026, 21:25 (UTC)
Created May 19, 2026, 21:25 (UTC)
Identifier hal-00694502
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)
creator Jbilou, Asma
date 2012-05-04T00:00:00
harvest_object_id 70e29dcc-5e8b-448a-995f-64df03f330b2
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-03-14T00:00:00
set_spec type:UNDEFINED