Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2023; 38(1): 195-203

Online first article December 6, 2022      Printed January 31, 2023

https://doi.org/10.4134/CKMS.c210255

Copyright © The Korean Mathematical Society.

Homogeneous structures on four-dimensional Lorentzian Damek-Ricci spaces

Assia Mostefaoui, Noura Sidhoumi

\'{E}cole Nationale Polytechnique d'Oran-Maurice Audin; \'{E}cole Nationale Polytechnique d'Oran-Maurice Audin

Abstract

Go to

Special examples of harmonic manifolds that are not symmetric, proving that the conjecture posed by Lichnerowicz fails in the non-compact case have been intensively studied. We completely classify homogeneous structures on Damek-Ricci spaces equipped with the left invariant metric.

Keywords: Damek-Ricci spaces, homogeneous structures, Lorentzian metrics, left-invariant metrics

MSC numbers: Primary 53C50, 53B30

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS

more +