English

Almost prescribing scalar curvature by mixed convex integration

Differential Geometry 2025-05-14 v1

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.

Keywords

Cite

@article{arxiv.2505.08384,
  title  = {Almost prescribing scalar curvature by mixed convex integration},
  author = {Fatine Aliouane and Ludovic Rifford and Mélanie Theillière},
  journal= {arXiv preprint arXiv:2505.08384},
  year   = {2025}
}

Comments

31 pages, 4 figures