Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2009; 46(4): 713-720

Printed July 1, 2009

https://doi.org/10.4134/BKMS.2009.46.4.713

Copyright © The Korean Mathematical Society.

Left-invariant minimal unit vector fields on a Lie group of constant negative sectional curvature

Seunghun Yi

Youngdong University

Abstract

We find all left-invariant minimal unit vector fields and strongly normal unit vector fields on a Lie group which is isometric to the hyperbolic space.

Keywords: left-invariant minimal unit vector field, Lie group, hyperbolic manifold

MSC numbers: 53C20, 53C25, 53C42