Harmonicity of deformed gradient metric

Authors

  • Nour El Houda Djaa Relizane University
  • Abderrahim Zagane Relizane University

Keywords:

Harmonic maps, Levi-Civita connexion, Curvatures, Gradient Metric

Abstract

Let (Mm, g) be an m-dimensional Riemannian manifold. In this paper, we introduce a new class of metric on (Mm, g) called the deformed gradient metric. First we investigate the Levi-Civita connection of this metric. Secondly we study some properties of harmonicity with respect to the deformed gradient metric. We also construct some examples of harmonic maps.

Downloads

Published

2022-03-01

How to Cite

Djaa, N. E. H., & Zagane, A. (2022). Harmonicity of deformed gradient metric. International Journal of Maps in Mathematics, 5(1), 61–77. Retrieved from http://journalmim.com/index.php/journalMIM/article/view/103