Further Results on the Fractional Yamabe Problem: The Umbilic Case |
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| Authors: | María del Mar González Meng Wang |
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| Institution: | 1.Departamento de Matemáticas,Universidad Autónoma de Madrid,Madrid,Spain;2.Department of Mathematics,Zhejiang University,Hangzhou,People’s Republic of China |
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| Abstract: | We prove some existence results for the fractional Yamabe problem in the case that the boundary manifold is umbilic, thus covering some of the cases not considered by González and Qing. These are inspired by the work of Coda-Marques on the boundary Yamabe problem but, in addition, a careful understanding of the behavior at infinity for asymptotically hyperbolic metrics is required. |
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