Journal
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Volume 117, Issue 2, Pages -Publisher
SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s13398-023-01404-y
Keywords
Homogeneous space; Homogeneous structure
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In this study, we identify all the homogeneous structures on non-symmetric three-dimensional Riemannian Lie groups and prove that a non-symmetric three-dimensional Riemannian Lie group has a non-canonical homogeneous structure if and only if its isometry group has dimension four.
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.
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