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Almost soliton duality
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Gideon Maschler
Published/Copyright:
April 3, 2015
Abstract
Gradient Ricci almost solitons were introduced by Pigola, Rigoli, Rimoldi and Setti [20]. They are defined as solitons except that the metric coefficient is allowed to be a smooth function rather than a constant. It is shown that any almost soliton is conformal to another almost soliton having a soliton function which is the negative of the original one. Uniqueness, and the case where both the source and target are solitons, are studied. Completeness of the target metric is also examined in the casewhere the source is Kähler and admits a special Kähler-Ricci potential in the sense of [10; 11].
Received: 2013-5-7
Accepted: 2013-6-11
Published Online: 2015-4-3
Published in Print: 2015-4-1
© 2015 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- 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
Articles in the same Issue
- 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
