Warped f-product Finsler Metrics

Year 2023, Volume: 10 Issue: 2, 295 - 302, 30.11.2023

Semaıl Ulgen

https://doi.org/10.35193/bseufbd.1166374

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

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

References

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