Kaehler-Ricci solitons on homogeneous toric bundles (II)
Differential Geometry
2007-05-23 v1
Abstract
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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Cite
@article{arxiv.math/0604071,
title = {Kaehler-Ricci solitons on homogeneous toric bundles (II)},
author = {Fabio Podesta' and Andrea Spiro},
journal= {arXiv preprint arXiv:math/0604071},
year = {2007}
}
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16 pages