English

Non-Einstein relative Yamabe metrics

Differential Geometry 2020-11-02 v2

Abstract

In this paper, we give a sufficient condition for a positive constant scalar curvature metric on a manifold with boundary to be a relative Yamabe metric, which is a natural relative version of the classical Yamabe metric. We also give examples of non-Einstein relative Yamabe metrics with positive scalar curvature.

Keywords

Cite

@article{arxiv.2010.05385,
  title  = {Non-Einstein relative Yamabe metrics},
  author = {Shota Hamanaka},
  journal= {arXiv preprint arXiv:2010.05385},
  year   = {2020}
}

Comments

8 pages

R2 v1 2026-06-23T19:15:36.367Z