Homogeneous Structures and Homogeneous Geodesics of the Hyperbolic Oscillator Group

Homogeneous Structures and Homogeneous Geodesics of the Hyperbolic Oscillator Group

In this paper, we study some homogeneity properties of a semi-direct extension of the Heisenberg group, known in literature as the hyperbolic oscillator (or Boidol) group, equipped with the left-invariant metrics corresponding to the ones of the oscillator group. We identify the naturally reductive...

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Bibliographic Details
Main Authors: Giovanni Calvaruso, Amirhesam Zaeim, Mehdi Jafari, Moslem Baghgoli
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
Subjects:
hyperbolic oscillator group
semi-direct extensions
homogeneous structures
homogeneous geodesics
Online Access:https://www.mdpi.com/2075-1680/14/1/61
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