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Characterization of Finsler Space with Rander’s-Type Exponential-Form Metric

Author

Listed:
  • Vinit Kumar Chaubey

    (Department of Mathematics, North-Eastern Hill University, Shillong 793022, India)

  • Brijesh Kumar Tripathi

    (Department of Mathematics, L. D. College of Engineering, Navrangpura, Ahmedabad 380015, India)

  • Sudhakar Kumar Chaubey

    (Section of Mathematics, IT Department, University of Technology and Applied Sciences, P.O. Box 77, Shinas 324, Oman)

  • Meraj Ali Khan

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 65892, Riyadh 11566, Saudi Arabia)

Abstract

This study explores a unique Finsler space with a Rander’s-type exponential metric, G ( α , β ) = ( α + β ) e β ( α + β ) , where α is a Riemannian metric and β is a 1-form. We analyze the conditions under which its hypersurfaces behave like hyperplanes of the first, second, and third kinds. Additionally, we examine the reducibility of the Cartan tensor C for these hypersurfaces, providing insights into their geometric structure.

Suggested Citation

  • Vinit Kumar Chaubey & Brijesh Kumar Tripathi & Sudhakar Kumar Chaubey & Meraj Ali Khan, 2025. "Characterization of Finsler Space with Rander’s-Type Exponential-Form Metric," Mathematics, MDPI, vol. 13(7), pages 1-15, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1063-:d:1620037
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