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Dergiler / Hagia Sophia Journal of Geometry / 2023 / Cilt: 5 Sayı: 1

Geometry of Mus-Gradient Metric

Abderrahım ZAGANE
Sayfa
1–10
Yayın Tarihi
2023-06-26
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Riemannian manifold · Mus-gradient metric · Riemannian curvature

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.

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Bu Makaleye Atıf Yap

ZAGANE, A. (2023). Geometry of Mus-Gradient Metric. Hagia Sophia Journal of Geometry, Cilt: 5 Sayı: 1, 1–10. https://ajindex.com/articles/946102

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Kaynakça (7)

  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. 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.
  7. Zagane, A. (2021). Harmonic sections of tangent bundles with horizontal Sasaki gradient metric. Hagia Sophia Journal of Geometry, 3(2), 31-40. O’Neil, B. (1983). Semi-Riemannian geometry. Academic Press, New York.