HARMONIC HOMOMORPHISMS BETWEEN TWO LIE GROUPS

• Journal title : Honam Mathematical Journal
• Volume 38, Issue 1,  2016, pp.1-8
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2016.38.1.1
Title & Authors
HARMONIC HOMOMORPHISMS BETWEEN TWO LIE GROUPS
Son, Heui-Sang; Kim, Hyun Woong; Park, Joon-Sik;

Abstract
In this paper, we get a complete condition for a group homomorphism of a compact Lie group with an arbitrarily given left invariant Riemannian metric into another Lie group with a left invariant metric to be a harmonic map, and then obtain a necessary and sufficient condition for a group homomorphism of (SU(2), g) with a left invariant metric g into the Heisenberg group (H, $\small{h_0}$) to be a harmonic map.
Keywords
Lie group;group homomorphism;left invariant metric;Heisenberg group;
Language
English
Cited by
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