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Homogeneous structures on four-dimensional Lorentzian Damek-Ricci spaces

Assia Mostefaoui|Noura Sidhoumi
대한수학회 (The Korean Mathematical Society)|2023.01|대한수학회논문집 (Communications of the KMS)|제38권 제1호|pp. 195-203|DOI 10.4134/CKMS.c210255

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키워드

Damek-Ricci spaceshomogeneous structuresLorentzian metricsleft-invariant metrics
주제분류수학

초록

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.

Abstract

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.

참고문헌 (18)

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