Positivity of direct image bundles and convexity on the space of Kahler metrics
arXiv:math/0608385
Abstract
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