Characterization of Finsler Space with Rander’s-Type Exponential-Form Metric
This study explores a unique Finsler space with a Rander’s-type exponential metric, G(α,β)=(α+β)eβ(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.
Authors
- Meraj Ali Khan (ORCID: https://orcid.org/0000-0001-6554-1228)
- Sudhakar Kumar Chaubey (ORCID: https://orcid.org/0000-0002-3882-4596)
- Brijesh Kumar Tripathi (ORCID: https://orcid.org/0000-0002-8274-3232)
- Vinit Kumar Chaubey
Institutions
- North Eastern Hill University (IN)
- Imam Mohammad ibn Saud Islamic University (SA)
- B.J. Medical College (IN)
Publication Details
- Journal
- Mathematics
- Published
- 2025-03-25
- DOI
- https://doi.org/10.3390/math13071063
- Citations
- 1
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 1.15