A study on the semi-conformal deformation of Berger-type metric

Semi-conformal deformation of Berger-type metric ...

Authors

  • Abderrahim Zagane University Center Ahmed Zabana-Relizane, Dept. of mathematics, 48000, Relizane-Algeria

Keywords:

Riemannian manifold, semi-conformal deformation of Berger-type metric, scalar curvature, harmonic map

Abstract

Let $(M^{2m},\varphi,g)$ be an anti-paraK\"{a}hler. In this paper, we introduce a new class of metric on $(M^{2m},\varphi,g)$, obtained by a non-conformal deformation of the metric $g$. First we investigate the Levi-Civita connection of this metric. Secondly we characterize the Riemannian curvature, the sectional curvature and the scalar curvature. In the last section we characterizes some class of harmonic maps.

JournalMIM V6(2)

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Published

2023-09-14

How to Cite

Zagane, A. (2023). A study on the semi-conformal deformation of Berger-type metric: Semi-conformal deformation of Berger-type metric . International Journal of Maps in Mathematics, 6(2), 99–113. Retrieved from https://simadp.com/journalmim/article/view/130

Issue

Vol. 6 No. 2 (2023): International Journal of Maps in Mathematics

Section

Articles

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