Locally dually flatness properties in cubic $ (\alpha, \beta) $-Metric

Brijesh Kumar Tripathi; V. K. Chaubey; Dhruvisha Patel

doi:10.3934/mfc.2024027

Article Contents

2025, Volume 8, Issue 4: 507-517. Doi: 10.3934/mfc.2024027

This issue Previous Article Ideal convergence in modified IFNS and $ \mathcal{L} $-fuzzy normed space Next Article Second-Order Hermitian–Toeplitz Determinants for the classes of Sakaguchi Convex and Starlike functions

Locally dually flatness properties in cubic $ (\alpha, \beta) $-Metric

1.
Department of Mathematics, L.D. College of Engineering, Ahmedabad Gujarat-380015, India
2.
Department of Mathematics, North Eastern Hill University, Shillong, Megalaya-793022, India
3.
Science Mathematics Branch, Gujarat Technological University, Ahmedabad, Gujarat-382424, India

^*Corresponding author: Brijesh Kumar Tripathi
^*Corresponding author: Brijesh Kumar Tripathi

Received: November 2023

Revised: April 2024

Early access: June 14, 2024

Published online: June 14, 2024

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Abstract

In this paper, we obtain the conditions for locally dually flat and projectively flat properties of a non-Riemannian cubic $ (\alpha, \beta) $-metric and characterize these conditions with isotropic S-curvature.

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Mathematics Subject Classification: Primary: 53B40, 53C60; Secondary: 53A20, 53B10.

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References

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