An extension of prescribed problems on the conformal classes of complete metrics

2023/04/25 by Yuan, Rirong
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.12835

Abstract

We solve prescribed problems for modified Schouten tensors in the conformal classes of smooth complete metrics, which extends the results obtained in prequel \citeyuan-PUE1. The key ingredient is to confirm the uniform ellipticity of operators under an assumption, which is sharp as shown by obstructions from topology and function theory.

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