Kaehler-Ricci solitons on homogeneous toric bundles (II)

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

2006-04-04

arxiv.org/abs/math/0604071v1

Mathematics

Differential Geometry

16 pages

Scientific paper

It is proved that an homogeneous toric bundles over a flag manifold G^\C/P
admits a Kaehler-Ricci solitonic metric if and only if it is Fano. In
particular, an homogeneous toric bundle of this kind is Kaehler-Einstein if and
only if it is Fano and its Futaki invariant vanishes identically.

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