Almost prescribing scalar curvature by mixed convex integration
Fatine Aliouane, Ludovic Rifford, M\'elanie Theilli\`ere
TL;DR
This paper introduces a novel mixed convex integration method to solve specific semilinear PDE relations and applies it to provide a new proof of a scalar curvature result by Lohkamp.
Contribution
The paper develops a new mixed convex integration technique and demonstrates its effectiveness in addressing scalar curvature problems.
Findings
Successfully applies the method to scalar curvature issues
Provides a new proof of Lohkamp's scalar curvature result
Establishes the suitability of mixed convex integration for certain PDEs
Abstract
We introduce a method of mixed convex integration and demonstrate its suitability for solving a particular class of semilinear second-order partial differential relations. As an application, we provide a new proof of a result on scalar curvature originally established by Lohkamp.
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