Research Article

Geometry of Mus-Gradient Metric

Volume: 5 Number: 1 June 26, 2023
EN

Geometry of Mus-Gradient Metric

Abstract

In this paper, we give some properties of Riemannian curvature tensors of Mus-gradient metric .i.e. we characterize the Riemannian curvature, the sectional curvature, the Ricci tensor, the Ricci curvature and the scalar curvature.

Keywords

References

  1. Benkartab, A., & Cherif, A.M. (2019). New methods of construction for biharmonic maps. Kyungpook Math. J., 59(1), 135-147.
  2. Benkartab, A., & Cherif, A.M. (2020). Deformations of metrics and biharmonic maps. Commun. Math., 28(3), 263-275.
  3. Djaa, N. E., & Zagane, A. (2022). Harmonicity of deformed gradient metric. International Journal of Maps in Mathematics, 5(1), 61-77.
  4. Djaa, N. E., & Zagane, A. (2022). Some results on the geometry of a non-conformal deformation of a metric. Commun. Korean Math. Soc., 37(3), 865-879.
  5. Crasmareanu, M. (1999). Killing Potentials. An. Stiint. Univ. Al. I. Cuza Iasi. Mat.(NS), 45(1), 169-176.
  6. Djaa, N.E., Latti, F. & Zagane, A. (2022). Proper biharmonic maps on tangent bundle. arXiv preprint arXiv:2211.06661.
  7. Zagane, A. (2020). Geodesics on tangent bundles with horizontal Sasaki gradient metric. Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci., 40(4), 188-197.
  8. Zagane, A. (2021). Harmonic sections of tangent bundles with horizontal Sasaki gradient metric. Hagia Sophia Journal of Geometry, 3(2), 31-40.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Early Pub Date

June 21, 2023

Publication Date

June 26, 2023

Submission Date

October 22, 2022

Acceptance Date

June 5, 2023

Published in Issue

Year 2023 Volume: 5 Number: 1

APA
Zagane, A. (2023). Geometry of Mus-Gradient Metric. Hagia Sophia Journal of Geometry, 5(1), 1-10. https://izlik.org/JA99BR26BS
AMA
1.Zagane A. Geometry of Mus-Gradient Metric. HSJG. 2023;5(1):1-10. https://izlik.org/JA99BR26BS
Chicago
Zagane, Abderrahım. 2023. “Geometry of Mus-Gradient Metric”. Hagia Sophia Journal of Geometry 5 (1): 1-10. https://izlik.org/JA99BR26BS.
EndNote
Zagane A (June 1, 2023) Geometry of Mus-Gradient Metric. Hagia Sophia Journal of Geometry 5 1 1–10.
IEEE
[1]A. Zagane, “Geometry of Mus-Gradient Metric”, HSJG, vol. 5, no. 1, pp. 1–10, June 2023, [Online]. Available: https://izlik.org/JA99BR26BS
ISNAD
Zagane, Abderrahım. “Geometry of Mus-Gradient Metric”. Hagia Sophia Journal of Geometry 5/1 (June 1, 2023): 1-10. https://izlik.org/JA99BR26BS.
JAMA
1.Zagane A. Geometry of Mus-Gradient Metric. HSJG. 2023;5:1–10.
MLA
Zagane, Abderrahım. “Geometry of Mus-Gradient Metric”. Hagia Sophia Journal of Geometry, vol. 5, no. 1, June 2023, pp. 1-10, https://izlik.org/JA99BR26BS.
Vancouver
1.Abderrahım Zagane. Geometry of Mus-Gradient Metric. HSJG [Internet]. 2023 Jun. 1;5(1):1-10. Available from: https://izlik.org/JA99BR26BS