English

On a fourth order conformal invariant

Differential Geometry 2020-02-17 v1

Abstract

In this note we prove that a fourth order conformal invariant on the product of a circle with an (n-1)-dimensional sphere can be arbitrarily close to that of the n-dimensional sphere, generalizing a result of Schoen about the classical Yamabe invariant.

Keywords

Cite

@article{arxiv.2002.05939,
  title  = {On a fourth order conformal invariant},
  author = {Jesse Ratzkin},
  journal= {arXiv preprint arXiv:2002.05939},
  year   = {2020}
}

Comments

10 pages, 1 figure

R2 v1 2026-06-23T13:41:44.916Z