Kaehler-Ricci solitons on homogeneous toric bundles (II)
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- April 2006
- DOI:
- 10.48550/arXiv.math/0604071
- arXiv:
- arXiv:math/0604071
- Bibcode:
- 2006math......4071P
- Keywords:
-
- Mathematics - Differential Geometry;
- 14M15;
- 32M12;
- 53C55
- E-Print:
- 16 pages