English

Centrally Harmonic spaces

Differential Geometry 2021-06-03 v1

Abstract

We construct examples of centrally harmonic spaces by generalizing work of Copson and Ruse. We show that these examples are generically not centrally harmonic at other points. We use this construction to exhibit manifolds which are not conformally flat but such that their density function agrees with Euclidean space.

Keywords

Cite

@article{arxiv.2106.01356,
  title  = {Centrally Harmonic spaces},
  author = {Peter Gilkey and JeongHyeong Park},
  journal= {arXiv preprint arXiv:2106.01356},
  year   = {2021}
}

Comments

11 pages

R2 v1 2026-06-24T02:45:53.609Z