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Bibliographic Details
Main Author: Yampolsky, Alexander
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.12915
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Table of Contents:
  • In this paper, we treat minimal left-invariant unit vector fields on oscillator group and their relations with the ones that define a harmonic map. Particularly, if all structure constants of the oscillator group are equal to each other, then all unit left invariant vector fields that define a harmonic map into the unit tangent bundle with Sasaki metric are minimal.