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Authors
Affiliations
1 Department of Mathematics, Mascara University, DZ
2 Department of Mathematics, Mascara University
Source
The Journal of the Indian Mathematical Society, Vol 90, No 3-4 (2023), Pagination: 411–430
Abstract
In this paper, we give some results of harmonic homomorphisms φ : (G, g) → (H, h), where G, H are connected and simply connected three dimensional unimodular Lie groups and g, h are left invariant Riemannian metrics.
Keywords
Harmonic Homomorphisms, Unimodular Riemannian Lie Groups.
References
- P. Baird and J. C. Wood, Harmonic morphisms between Riemannian manifolds. Oxford Science Publications, 2003.
- S. Boubekour and M. Boucetta, Harmonic and biharmonic homomorphisms between Riemannian three dimensional unimodular Lie groups. Journal of Geometry and Physics, Volume 164, (2021), Article 104178.
- M. Boucetta and S. Ouakkas, Harmonic and biharmonic homomorphisms between Riemannian Lie groups. Journal of Geometry and Physics volume 116. (2017), 64-80.
- Y. J. Dai, M. Shon and H. Urakawa, Harmonic maps between into Lie groups and homogeneous spaces. Differ. Geom.Appl, 7 (1997), 143-169.
- K. Y. Ha and J. B. Lee, Left invariant metrics and curvatures on simply connected three-dimensional Lie groups. Math.Nachar. 282 (2009), 868-898.
- P. Y. Kim, J. S. Park and Y. S. Pyo, Harmonic maps between the group of automorphisms of quaaternion algebra. Journal of the Chungcheong mathematical Society,volume 25, No. 2 (2012), 331-339.
- J. S. Park, Harmonic inner automorphisms of compact connected semisimple Lie groups. Tohoku math.J 42 (1990), 80-91.
- K. Uhlenbeck, Harmonic maps into Lie groups (classical solutions of the chiral model). J. Differ. Geom. 30(1989), 1-50.
