Enveloppes inferieures de fonctions admissibles sur l'espace projectif complexe. Cas symetrique

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dc.creatorAbdesselem, Adnene Ben
dc.date2003-05-20
dc.date.accessioned2026-07-07T04:58:09Z
dc.date.available2026-07-07T04:58:09Z
dc.descriptionWe prove that admissible functions for Fubini-Study metrics on the complex projective space $P_{m}C$, of complex dimension $m$, invariant by a convenient automorphisms group, are lower bounded by a function going to minus infinity on the boundary of usual charts of $P_{m}C$. A similar lower bound holds on some projective manifolds. This gives an optimal constant in a Hormander type inequality on these manifolds, which allows us to establish the existence of Einstein-Kahler metrics on them.
dc.descriptionarticle of 14 pages
dc.identifierhttps://arxiv.org/abs/math/0305291
dc.identifierhttp://arxiv.org/abs/math/0305291
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67519
dc.subjectDifferential Geometry
dc.subject53C55, 58G30
dc.titleEnveloppes inferieures de fonctions admissibles sur l'espace projectif complexe. Cas symetrique
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