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)

Downloads

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 http://journalmim.com/index.php/journalMIM/article/view/130

Issue

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

Section

Articles

License

The copyright to the article is transferred to body International Journal of Maps in Mathematics effective if and when the article is accepted for publication.

  • The copyright transfer covers the exclusive right to reproduce and distribute the article, including reprints, translations, photographic reproductions, microform, electronic form (offline, online) or any other reproductions of similar nature.
  • An author may make his/her article published by body International Journal of Maps in Mathematics available on his/her home page provided the source of the published article is cited and body International Journal of Maps in Mathematics is mentioned as copyright owner.
  • The author warrants that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors. After submission of this agreement signed by the corresponding author, changes of authorship or in the order of the authors listed will not be accepted by body International Journal of Maps in Mathematics.