English

A class of nonsymmetric harmonic Riemannian spaces

Differential Geometry 2009-09-25 v1 Representation Theory

Abstract

Certain solvable extensions of HH-type groups provide noncompact counterexamples to the so-called Lichnerowicz conjecture, which asserted that ``harmonic'' Riemannian spaces must be rank 1 symmetric spaces.

Keywords

Cite

@article{arxiv.math/9207213,
  title  = {A class of nonsymmetric harmonic Riemannian spaces},
  author = {Ewa Damek and Fulvio Ricci},
  journal= {arXiv preprint arXiv:math/9207213},
  year   = {2009}
}

Comments

4 pages