Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 1998; 35(1): 25-32

Printed March 1, 1998

Copyright © The Korean Mathematical Society.

Jacobi fields and conjugate points on Heisenberg group

Keun Park

University of Ulsan

Abstract

Let $N$ be the 3-dimensional Heisenberg group equipped with a left-invariant metric on $N$. We characterize the Jacobi fields and the conjugate points along a geodesic on $N,$ which points out that Theorem 4 of \cite{1} is not correct.

Keywords: Heisenberg group, Jacobi fields, conjugate points

MSC numbers: 53C30, 22E25