Bükülmüş f-Çarpımlı Finsler Metrikleri

Abstract

Bu makalede bazı Ricci-Düz bükülmüş f-Çarpımlı Finsler metriklerinin varlıkları gösterilmektedir. Bu yeni tanımlanan bükülmüş f-Çarpımlı Finsler metriklerinin genel yapısını araştırarak, metrik formunu, metriğin geodesiklerinin sprey katsayıları ve α_1 ve α_2 Riemanian metriklerine bağlı Ricci eğriliklerini belirledik.

Keywords

• Bükülmüş f-Çarpımlı Finsler Metrikleri
• Ricci Eğrilikleri
• Spreyler
• Riemann Eğriliği

Warped f-product Finsler Metrics

Abstract

This paper shows the existence of some Ricci-flat warped f-Product Finsler metrics. We investigate the general structure of this newly defined warped f-Product Finsler metrics, indeed we identify the metric form, spray coefficients of geodesics of the metric, and also the Ricci curvature in regards to the α_1 and α_2 Riemanian metrics.

Keywords

• Warped f-Product Finsler metrics
• Ricci Curvature
• Sprays
• Riemanian Curvature

References

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3. O’Neill, B., (1983). Semi-Riemannian Geometry: With Applications to Relativity. Pure and Applied Mathematics, Academic Press, New York, NY, USA, 103.
4. Chern, S.S., & Shen, Z. (2005). Riemann-Finsler Geometry. World Scientific Publishers, Nankai Tracts in Mathematics, 6.