Kenmotsu LIe groups

Fuente: arXiv
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Autor principal: Boucetta, Mohamed
Formato: Preprint
Publicado: 2024
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author Boucetta, Mohamed
author_facet Boucetta, Mohamed
contents Kenmotsu manifolds constitute an important subclass of the class of contact Riemannian manifolds. In this note, we determine entirely connected and simply-connected Lie groups having a left invariant Kenmotsu structure. We show also that these Lie groups are Einstein Riemannian manifolds.
format Preprint
id arxiv_https___arxiv_org_abs_2407_16506
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Kenmotsu LIe groups
Boucetta, Mohamed
Differential Geometry
53C25, 22E25
Kenmotsu manifolds constitute an important subclass of the class of contact Riemannian manifolds. In this note, we determine entirely connected and simply-connected Lie groups having a left invariant Kenmotsu structure. We show also that these Lie groups are Einstein Riemannian manifolds.
title Kenmotsu LIe groups
topic Differential Geometry
53C25, 22E25
url https://arxiv.org/abs/2407.16506