[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2003.40.1.061

CONJUGATE POINTS ON THE QUATERNIONIC HEISENBERG GROUP

Jang, Chang-Rim (Department of Mathematics University of Ulsan)
Kim, Jun-Kon (Hwamyung High School)
Kim, Yeon-Wook (Department of Mathematics University of Ulsan)
Park, Keun (Department of Mathematics University of Ulsan)

Publication Information

Journal of the Korean Mathematical Society / v.40, no.1, 2003 , pp. 61-72 More about this Journal

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;

Citations & Related Records

Times Cited By Web Of Science : 2 (Related Records In Web of Science)
Times Cited By SCOPUS : 3

Reference
Cited By SCOPUS

1	Geometry of 2-step nilpotent groups with a left invariant metric / [ P. Eberlein ] / Ann. Sci. Ecole Norm. Sup. DOI
2	Discrete subgroups of Lie groups / [ M. S. Raghunathan ] / Ergebnisse der Mathematik und ihrer Grenzgebiete
3	Riemannian nilmanifolds attached to Clifford modules / [ A. Kaplan ] / Geom. Dedicata
4	On the geometry of groups of Heisenberg type / [ A. Kaplan ] / Bull. London Math. Soc. DOI
5	Generalized Heisenberg groups Damek-Ricci harmonic extensions / [ J. Berndt;F. Tricerri;L. Vanhecke ] / Lecture Notes in Mathematics

1	CONJUGATE LOCI OF 2-STEP NILPOTENT LIE GROUPS SATISFYING J²_z = <Sz, z>A / [Jang, Chang-Rim;Lee, Tae-Hoon;Park, Keun;] / Journal of the Korean Mathematical Society
2	GEODESIC SPHERES AND BALLS OF THE HEISENBERG GROUPS / [Jang, Changrim;Park, Ji-Hye;Park, Keun;] / Communications of the Korean Mathematical Society

1	/ Houston Journal of Mathematics
2	/ Journal of the Korean Mathematical Society
3	/ Communications of the Korean Mathematical Society