Schouten tensor equations in conformal geometry with prescribed boundary metric

2003/07/17 by Oliver C. Schnuerer, Schnuerer, Oliver C.
Engineering · Mathematics · #35J25 #53A30 #58J32 #Analysis of PDEs (math.AP) #Composite Material Mechanics #Differential Geometry (math.DG) #Elasticity and Material Modeling #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.AP #math.DG #msc:35J25 #msc:53A30 #msc:58J32

paper · pdf · doi:10.48550/arxiv.math/0307247

arxiv created 2003/07/17 · openalex publication_date 2003/07/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

On a manifold with boundary, we deform the metric conformally. This induces a deformation of the Schouten tensor. We fix the metric at the boundary and realize a prescribed value for the product of the eigenvalues of the Schouten tensor in the interior, provided that there exists a subsolution.

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