The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups

Romina M. Arroyo; Mark D. Gould; Artem Pulemotov

The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups

Differential Geometry 2024-12-24 v2

Authors: Romina M. Arroyo , Mark D. Gould , Artem Pulemotov

Abstract

We investigate the prescribed Ricci curvature problem in the class of left-invariant naturally reductive Riemannian metrics on a non-compact simple Lie group. We obtain a number of conditions for the solvability of the underlying equations and discuss several examples.

Keywords

prescribed ricci curvature naturally reductive metrics non-compact simple lie groups left-invariant metrics solvability conditions

Cite

@article{arxiv.2006.15765,
  title  = {The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups},
  author = {Romina M. Arroyo and Mark D. Gould and Artem Pulemotov},
  journal= {arXiv preprint arXiv:2006.15765},
  year   = {2024}
}

Comments

24 pages, 1 figure

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