
Open access
Author
Date
2019-12Type
- Journal Article
Abstract
We prove existence of instantaneously complete Yamabe flows on hyperbolic space of arbitrary dimension m≥3. The initial metric is assumed to be conformally hyperbolic with conformal factor and scalar curvature bounded from above. We do not require initial completeness or bounds on the Ricci curvature. If the initial data are rotationally symmetric, the solution is proven to be unique in the class of instantaneously complete, rotationally symmetric Yamabe flows. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000374984Publication status
publishedExternal links
Journal / series
Calculus of Variations and Partial Differential EquationsVolume
Pages / Article No.
Publisher
SpringerMore
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