Kaehler-Ricci solitons on homogeneous toric bundles (I)

Details Kaehler-Ricci solitons on homogeneous toric bundles (I) Kaehler-Ricci solitons on homogeneous toric bundles (I)

2006-04-04

arxiv.org/abs/math/0604070v1

Mathematics

Differential Geometry

This is a new version of our previously posted paper "Homogeneous toric bundles with c_1(M)>0". The differences are mainly in

Scientific paper

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.

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