Data di Pubblicazione:
2015
Citazione:
Remarks on Kähler–Ricci solitons / L. Bedulli, A. Gori. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - 15:2(2015), pp. 167-172. [10.1515/advgeom-2015-0009]
Abstract:
We prove that a complex compact manifold endowed with a Ka ̈hler Ricci soliton cannot be isometrically embedded in a complex projective space CP^n in such a way that the Gauss map is rational, unless the metric is Einstein. This applies to hypersurfaces of complex compact homogeneous spaces canonically embedded in CP^n.
We moreover obtain two curvature constraints for invariant Ka ̈hler Ricci solitons on complex manifolds acted on by a compact Lie group with cohomogeneity one.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
L. Bedulli, A. Gori
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