Convergence of the weighted Yamabe flow
نویسندگان
چکیده
We introduce the weighted Yamabe flow{∂g∂t=(rϕm−Rϕm)g∂ϕ∂t=m2(Rϕm−rϕm) on a smooth metric measure space (Mn,g,e−ϕdvolg,m), where Rϕm denotes associated scalar curvature, and rϕm mean value of curvature. prove long-time existence convergence flow if dimension n satisfies n⩾3.
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ژورنال
عنوان ژورنال: Differential Geometry and Its Applications
سال: 2022
ISSN: ['1872-6984', '0926-2245']
DOI: https://doi.org/10.1016/j.difgeo.2022.101922