Journal of Lie Theory 34 (2024), No. 3, 711--733
Copyright Heldermann Verlag 2024
The Isometry Group of the 4-Dimensional Oscillator Group
Malika Ait Ben Haddou
Faculty of Sciences, Moulay Ismail University, Meknčs, Morocco
m.aitbenhaddou@umi.ac.ma
Youssef Ayad
Faculty of Sciences, Moulay Ismail University, Meknčs, Morocco
youssef.ayad@edu.umi.ac.ma
For each left invariant Riemannian metric on the oscillator group, we determine the Ricci transformation and the full isometry group.
Keywords: Oscillator group, Riemannian metric, Ricci transformation, isometry.
MSC: 53C30, 53C35, 53C20.
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