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2024 | OriginalPaper | Chapter

Minimal Unit Vector Fields on Oscillator Groups

Author : Alexander Yampolsky

Published in: Differential Geometric Structures and Applications

Publisher: Springer Nature Switzerland

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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 defines 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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previous chapter Mixed 3-Sasakian Statistical Manifolds and Statistical Submersions

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Title: Minimal Unit Vector Fields on Oscillator Groups
Author: Alexander Yampolsky
Publisher: Springer Nature Switzerland
Book: Differential Geometric Structures and Applications
Print ISBN: 978-3-031-50585-0

Electronic ISBN: 978-3-031-50586-7

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-50586-7_6

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