no code implementations • 3 Jan 2020 • Yanyan Li, Luc Nguyen
For a given finite subset $S$ of a compact Riemannian manifold $(M, g)$ whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition for the existence and uniqueness of a conformal metric on $M \setminus S$ such that each point of $S$ corresponds to an asymptotically flat end and that the Schouten tensor of the conformal metric belongs to the boundary of the given cone.
Analysis of PDEs Differential Geometry
