Kaehler-Ricci solitons on homogeneous toric bundles (I)
Differential Geometry
2007-05-23 v1
Abstract
This is the first of a sequence of two papers. Here, a simple algebraic characterization of the Fano manifolds in the class of homogeneous toric bundles over a flag manifold G^C/P is provided in terms of symplectic data. The result of this paper is used in the second paper, where it is proved that an homogeneous toric bundle over a flag manifold admits a Kaehler-Ricci solitonic metric if and only if it is Fano.
Keywords
Cite
@article{arxiv.math/0604070,
title = {Kaehler-Ricci solitons on homogeneous toric bundles (I)},
author = {Fabio Podesta' and Andrea Spiro},
journal= {arXiv preprint arXiv:math/0604070},
year = {2007}
}
Comments
This is a new version of our previously posted paper "Homogeneous toric bundles with c_1(M)>0". The differences are mainly in the Abstract, Introdution and Title. This new version has been made necessary by the new results given in the next paper "Kaehler-Ricci solitons on homogeneous toric bundles (II)"