HARMONIC MAPS BETWEEN THE GROUP OF AUTOMORPHISMS OF THE QUATERNION ALGEBRA

• 발행기관: 충청수학회
• 저자명: Pu-Young Kim Joon-Sik Park Yong-Soo Pyo
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 2, 331~339쪽, 전체 9쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2012.05.30

영문 초록

In this paper, let Q be the real quaternion algebra which consists of all quaternionic numbers, and let G be the Lie group of all automorphisms of the algebra Q. Assume that g is an arbitrary given left invariant Riemannian metric on the Lie groupG. Then, we obtain a necessary and su±cient condition for an automorphism of the group G to be harmonic.

목차

1. Introduction

2. The Lie group of all automorphisms of the quaternion algebra

3. Harmonic automorphisms between the Lie group of all automorphisms of the quaternion algebra