Archives

On the $D$-isometric deformation of Kenmotsu manifolds and biharmonic maps
by Smail Chemikh   Djilali Behloul   Seddik Ouakkas

Vol. 17 No. 2 (2022) P.195~P.217
 DOI: https://doi.org/10.21915/BIMAS.2022204 10.21915/BIMAS.2022204

ABSTRACT

In this paper, we introduce a $D$-isometric deformation of almost contact metric manifold where we give some new results of this type of deformation, the harmonicity and the biharmonicity of the identity map are characterized by using this deformation.

KEYWORDS
Harmonic and biharmonic maps, Almost contact metric manifolds, Kenmotsu manifolds, $D$-isometric deformation.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 53C25, 53D15, 58E20

MILESTONES