Korean J. Math. Vol. 30 No. 1 (2022) pp.121-130
DOI: https://doi.org/10.11568/kjm.2022.30.1.121

Semi-conformal $L$-harmonic maps and Liouville type theorem

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Published: Mar 30, 2022
Keywords:
$L$-harmonic maps, semi-conformal maps, Liouville Theorem
Mathematics Subject Classification:
53A45, 53C20, 58E20

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Embarka Remli
Department of Mathematics, University Mustapha Stambouli, Mascara 29000, Algeria.
Ahmed Mohammed Cherif
Department of Mathematics, University Mustapha Stambouli, Mascara 29000, Algeria.

Abstract

In this paper, we prove that every semi-conformal harmonic map between Riemannian manifolds is $L$-harmonic map. We also prove a Liouville type theorem for $L$-harmonic maps.



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