Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 413
Biharmonic Homomorphism Between 3-dimensional Lie Groups
Abdelkader Zagane, Nada Osamnia, Kaddour Zegga
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2347
April 15, 2347

Abstract: The theory of harmonic maps is old and rich and has gained a growing interest in the last decade. The theory of harmonic maps into Lie groups has been extensively studied related homomorphism in compact Lie groups by many mathematicians, in particular, harmonic maps into Lie groups and harmonic inner automorphisms of compact connected semi-simple Lie groups and intensively study harmonic and biharmonic homomorphisms between Riemannian Lie groups equipped with a left invariant Riemannian metric. The author studied the classification, up to a conjugation by automorphism of Lie groups, of ...