Homogeneous Riemannian structures in dimension three

Autor:	E. Calviño-Louzao, M. Ferreiro-Subrido, E. García-Río, R. Vázquez-Lorenzo
Rok vydání:	2023
Předmět:	Computational Mathematics Algebra and Number Theory Applied Mathematics Geometry and Topology Analysis
Zdroj:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 117
ISSN:	1579-1505 1578-7303
DOI:	10.1007/s13398-023-01404-y
Popis:	In this note, we determine all the homogeneous structures on non-symmetric three-dimensional Riemannian Lie groups. We show that a non-symmetric three-dimensional Riemannian Lie group admits a non-canonical homogeneous structure if and only if its isometry group has dimension four.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4c85787f5e10f57ed1b20a87d5808c11 https://doi.org/10.1007/s13398-023-01404-y Zobrazit plný text záznamu Full text from SpringerLink