English

Fully nonlinear Yamabe-type problems on non-compact manifolds

Analysis of PDEs 2024-01-17 v1 Differential Geometry

Abstract

We obtain existence results for a class of fully nonlinear Yamabe-type problems on non-compact manifolds, addressing both the so-called positive and negative cases. We also give explicit examples of manifolds with warped product ends and asymptotically flat ends satisfying the hypotheses of our theorems.

Keywords

Cite

@article{arxiv.2401.07808,
  title  = {Fully nonlinear Yamabe-type problems on non-compact manifolds},
  author = {Jonah A. J. Duncan and Yi Wang},
  journal= {arXiv preprint arXiv:2401.07808},
  year   = {2024}
}
R2 v1 2026-06-28T14:17:15.044Z