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Kaehler-Ricci solitons on homogeneous toric bundles (I)

Fabio Podesta'·Andrea Spiro
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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.

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Fabio Podesta', Andrea Spiro. 2006-04-04. Kaehler-Ricci solitons on homogeneous toric bundles (I). https://arxiv.org/abs/math/0604070

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