English

The Prescribed Ricci Curvature Problem for Homogeneous Metrics

Differential Geometry 2023-07-17 v2

Abstract

The prescribed Ricci curvature problem consists in finding a Riemannian metric gg on a manifold MM such that the Ricci curvature of gg equals a given (0,2)(0,2)-tensor field TT. We survey the recent progress on this problem in the case where MM is a homogeneous space.

Keywords

Cite

@article{arxiv.1911.08214,
  title  = {The Prescribed Ricci Curvature Problem for Homogeneous Metrics},
  author = {Timothy Buttsworth and Artem Pulemotov},
  journal= {arXiv preprint arXiv:1911.08214},
  year   = {2023}
}

Comments

16 pages, 2 tables. Version 2: omission in Table 1 corrected; other minor changes