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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169689We 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 addedComplex VariablesDifferential Geometry32L15Positivity of direct image bundles and convexity on the space of Kahler metricstext