Mathematics
Cohomogeneity one Kähler-Ricci solitons under a Heisenberg group action and related metrics
Document Type
Article
Abstract
We find complete expanding Kähler-Ricci solitons of two types. The first are of cohomogeneity one under the action of the (2m - 1)-dimensional Heisenberg group or a certain quotient of it, for any m ≥ 2. The second type, which generalizes the first, reside on ℂ*-bundles over compact Kähler Ricci-flat manifolds, admit an S1 action by isometries, and have two ends. Both types have the local structure stemming from an ansatz first described in [20]. We give curvature bounds for the first type, and asymptotics for both types.
Publication Title
Transformation Groups
Publication Date
2023
Volume
28
Issue
4
First Page
1651
Last Page
1667
ISSN
1083-4362
DOI
10.1007/s00031-022-09740-w
Keywords
Kähler-Ricci solitons
Repository Citation
Maschler, G. and Ream, Robert, "Cohomogeneity one Kähler-Ricci solitons under a Heisenberg group action and related metrics" (2023). Mathematics. 28.
https://commons.clarku.edu/mathematics/28
