Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2003; 40(1): 61-72

Printed January 1, 2003

Copyright © The Korean Mathematical Society.

Conjugate points on the quaternionic Heisenberg group

Changrim Jang, Junkon Kim, Yeonwook Kim, and Keun Park

University of Ulsan, Hwamyung High School, University of Ulsan, University of Ulsan,

Abstract

Let $N$ be the quaternionic Heisenberg group equipped with a left-invariant metric. We characterize all the conjugate points along the geodesics on $N.$

Keywords: quaternionic Heisenberg group, Jacobi fields, conjugate points

MSC numbers: 53C30, 22E25