Almost soliton duality

作者：Maschler Gideon^*

来源：Advances in Geometry, 2015, 15(2): 159-166.

DOI：10.1515/advgeom-2015-0007

• Almost soliton
• Ricci soliton
• Kahler
• conformal

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 case where the source is Kahler and admits a special Kahler-Ricci potential in the sense of [10; 11].

• 出版日期2015-4