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Cohomogeneity one Ricci Solitons from Hopf Fibrations. (arXiv:1706.09712v1 [math.DG])
来源于:arXiv
This paper studies cohomogeneity one Ricci solitons. If the isotropy
representation of the principal orbit $G/K$ consists of two inequivalent
$Ad_K$-invariant irreducible summands, the existence of parameter families of
non-homothetic complete steady and expanding Ricci solitons on non-trivial
bundles is shown. These examples were detected numerically by
Buzano-Dancer-Gallaugher-Wang. The analysis of the corresponding Ricci flat
trajectories is used to reconstruct Einstein metrics of positive scalar
curvature due to B\"ohm. The techniques also yield unifying proofs for the
existence of $m$-quasi-Einstein metrics. 查看全文>>