We deal with homogeneous toric bundles M over generalized flag manifolds G^C/P, where G is a compact semisimple Lie group and P a parabolic subgroup. Using symplectic data, we provide a simple characterization of the homogeneous toric bundles M which are Fano; we then show that a homogeneous toric bundle $M$ admits a Kaehler-Ricci solitonic metric if and only if it is Fano.
Kahler-Ricci solitons on homogeneous toric bundles
SPIRO, Andrea
2010-01-01
Abstract
We deal with homogeneous toric bundles M over generalized flag manifolds G^C/P, where G is a compact semisimple Lie group and P a parabolic subgroup. Using symplectic data, we provide a simple characterization of the homogeneous toric bundles M which are Fano; we then show that a homogeneous toric bundle $M$ admits a Kaehler-Ricci solitonic metric if and only if it is Fano.File in questo prodotto:
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