2006/04/04 by Podesta', Fabio, Spiro, Andrea
#14M15 #32M12 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.math/0604071
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.