COHOMOGENEITY ONE KÄHLER-RICCI SOLITONS UNDER A HEISENBERG GROUP ACTION AND RELATED METRICS
نویسندگان
چکیده
We find complete expanding Kähler-Ricci solitons of two types. The first are cohomogeneity one under the action (2m - 1)-dimensional Heisenberg group or a certain quotient it, for any m ? 2. second type, which generalizes first, reside on ?*-bundles over compact Kähler Ricci-flat manifolds, admit an S1 by isometries, and have ends. Both types local structure stemming from ansatz described in [20]. give curvature bounds asymptotics both
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2022
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-022-09740-w