Mathematics
Almost soliton duality
Document Type
Article
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].
Publication Title
Advances in Geometry
Publication Date
4-2015
Volume
15
Issue
2
First Page
159
Last Page
166
ISSN
1615-715X
DOI
10.1515/advgeom-2015-0007
Keywords
almost soliton, conformal, Kähler, Ricci soliton
Repository Citation
Maschler, Gideon, "Almost soliton duality" (2015). Mathematics. 34.
https://commons.clarku.edu/mathematics/34
