Ricci Curvature Formula for a Homogeneous Finsler Space with (α,β)-Metric

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Published: Mar 15, 2023
Keywords:
Finsler space, Ricci curvature, special (α,β)-metric, vanishing S-curvature, Homogeneous Finsler space

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Surekha Desai
Department of Mathematics, KuvempuUniversity, Jnanasahyadri, Shankaraghatta, Shivamogga, Karnataka, INDIA
Narasimhamurthy S K
Department of Mathematics, KuvempuUniversity, Jnanasahyadri, Shankaraghatta, Shivamogga, Karnataka, INDIA
Raghavendra R S
Department of Mathematics, KuvempuUniversity, Jnanasahyadri, Shankaraghatta, Shivamogga, Karnataka, INDIA

Abstract

Curvature properties of homogeneous Finsler spaces with (α,β)-metrics are among the most significant topics in Finsler geometry. In this article, first we will discuss Ricci curvatures in Finsler geometry. We have obtained the formula for the Ricci curvature of homogeneous Finsler space with special metric. We have discussed the conditions to have vanishing S-curvature for the space (G⁄H,F).

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1.
Desai S, S K N, R S R. Ricci Curvature Formula for a Homogeneous Finsler Space with (α,β)-Metric. J. Int. Acad. Phys. Sci. [Internet]. 2023 Mar. 15 [cited 2024 May 20];27(1):13-22. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/956
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Vol. 27 No. 1 (2023): Table of Content
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