Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Remarks on Kähler–Ricci solitons
-
Lucio Bedulli
und
Anna Gori
Veröffentlicht/Copyright:
3. April 2015
Abstract
We prove that a compact complex manifold endowed with a Kähler-Ricci soliton cannot be isometrically embedded in a complex projective space ℂℙn 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 ℂℙn.We moreover obtain two curvature constraints for invariant Kähler-Ricci solitons on complex manifolds acted on by a compact Lie group with cohomogeneity one.
Received: 2013-4-30
Accepted: 2013-9-25
Published Online: 2015-4-3
Published in Print: 2015-4-1
© 2015 by Walter de Gruyter Berlin/Boston
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Frontmatter
- Division algebras and transitivity of group actions on buildings
- Projections of del Pezzo surfaces and Calabi–Yau threefolds
- Almost soliton duality
- Remarks on Kähler–Ricci solitons
- Real solutions to systems of polynomial equations and parameter continuation
- Division pairs: a new approach to Moufang sets
- Very special divisors on 4-gonal real algebraic curves
- On the intersection of a Hermitian surface with an elliptic quadric
- Geometric properties of semitube domains
- Threefolds in ℙ6 of degree 12
Artikel in diesem Heft
- Frontmatter
- Division algebras and transitivity of group actions on buildings
- Projections of del Pezzo surfaces and Calabi–Yau threefolds
- Almost soliton duality
- Remarks on Kähler–Ricci solitons
- Real solutions to systems of polynomial equations and parameter continuation
- Division pairs: a new approach to Moufang sets
- Very special divisors on 4-gonal real algebraic curves
- On the intersection of a Hermitian surface with an elliptic quadric
- Geometric properties of semitube domains
- Threefolds in ℙ6 of degree 12
