Minimal unit vector fields on oscillator groups
Differential Geometry
2025-01-23 v1
Abstract
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.
Cite
@article{arxiv.2501.12915,
title = {Minimal unit vector fields on oscillator groups},
author = {Alexander Yampolsky},
journal= {arXiv preprint arXiv:2501.12915},
year = {2025}
}