Minimal unit vector fields on oscillator groups

Alexander Yampolsky

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arXiv · 2501.12915

Minimal unit vector fields on oscillator groups

Alexander Yampolsky

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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.

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Alexander Yampolsky. 2025-01-22. Minimal unit vector fields on oscillator groups. https://arxiv.org/abs/2501.12915

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