A class of nonsymmetric harmonic Riemannian spaces-Reference-Cited by-同舟云学术

A class of nonsymmetric harmonic Riemannian spaces

Published:1992 Issue:1 Volume:27 Page:139-142
ISSN:0273-0979
Container-title:Bulletin of the American Mathematical Society
language:en
Short-container-title:Bull. Amer. Math. Soc.

Author:

Damek Ewa,Ricci Fulvio

Abstract

Certain solvable extensions of H-type groups provide noncompact counterexamples to a conjecture of Lichnerowicz, which asserted that "harmonic" Riemannian spaces must be rank 1 symmetric spaces.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/bull/1992-27-01/S0273-0979-1992-00293-8/S0273-0979-1992-00293-8.pdf

Reference11 articles.

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3. 𝐻-type groups and Iwasawa decompositions;Cowling, Michael;Adv. Math.,1991

4. \bysame, H-type groups and Iwasawa decompositions, II (to appear).

5. The geometry of a semidirect extension of a Heisenberg type nilpotent group;Damek, Ewa;Colloq. Math.,1987

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