Article
KYUNGPOOK Math. J. 2019; 59(4): 771-781
Published online December 23, 2019
Copyright © Kyungpook Mathematical Journal.
Biharmonic Submanifolds of Quaternionic Space Forms
Bouazza Kacimi and Ahmed Mohammed Cherif∗,1
Department of Mathematics, Faculty of Exact Sciences, Mascara University, Mascara, 29000, Algeria
e-mail : bouazza.kacimi@univ-mascara.dz and a.mohammedcherif@univ-mascara.dz
Received: August 1, 2018; Accepted: January 28, 2019
In this paper, we consider biharmonic submanifolds of a quaternionic space form. We give the necessary and sufficient conditions for a submanifold to be biharmonic in a quaternionic space form, we study different particular cases for which we obtain some non-existence results and curvature estimates.
Keywords: Quaternionic space form, biharmonic submanifold. This work was supported by National Agency Scientifi,c Research of Algeria.