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.

International Journal of Maps in Mathematics volume 5 Issue 1 2022

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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 https://simadp.com/journalmim/article/view/103

Issue

Vol. 5 No. 1 (2022): International Journal of Maps in Mathematics

Section

Articles

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