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.

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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