Some results on proper biharmonic vector field

Authors

  • N.E. Djaa Relizane University, Algeria
  • M. Djaa Saida University, Algeria

DOI:

https://doi.org/10.31926/but.mif.2023.3.65.1.9

Keywords:

horizontal lift, vertical lift, biharmonic vector field

Abstract

In this paper, we establish necessary and sufficient conditions under which a vector field be biharmonic on the Riemannian manifold. We also construct some examples of proper biharmonic vector fields from a resolution of differential equations.

Author Biographies

N.E. Djaa, Relizane University, Algeria

Faculty of Sciences and Technology

M. Djaa, Saida University, Algeria

LGACA Laboratory, Department of Mathematics

Downloads

Published

2023-07-03

Issue

Vol. 3(65) No. 1 (2023)

Section

MATHEMATICS