Positivity of direct image bundles and convexity on the space of Kahler metrics

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We develop some results on the positivity of direct image bundles in the particular case of a trivial fibration over a one-dimensional base. We also apply the results to study variations of Kahler metrics.
this is a revised version. Some proofs are simplified, some results are more complete and a few explanations are added

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Complex Variables, Differential Geometry, 32L15

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http://salesiana.dossiersoluciones.com/handle/123456789/169689

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608385
 http://arxiv.org/abs/math/0608385

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arXiv