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

Adnene Ben Abdesselem
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Abstract

We 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.

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Adnene Ben Abdesselem. 2003-05-20. Enveloppes inferieures de fonctions admissibles sur l'espace projectif complexe. Cas symetrique. https://arxiv.org/abs/math/0305291

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