Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems
نویسندگان
چکیده
For a given finite subset S of compact Riemannian manifold (M,g) whose Schouten curvature tensor belongs to cone, we establish necessary and sufficient condition for the existence uniqueness conformal metric on M\S such that each point corresponds an asymptotically flat end boundary cone. As by-product, define purely local notion Ricci lower bounds continuous metrics are smooth prove corresponding volume comparison theorem. © 2022 The Authors. Communications Pure Applied Mathematics published by Wiley Periodicals LLC.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2022
ISSN: ['1097-0312', '0010-3640']
DOI: https://doi.org/10.1002/cpa.22044