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Exploring Special Curvatures Connections in Finsler Geometry
Subject area: Science,Engineering and Technology · Area of research: Mathematics
Abstract
This study examines the advantages of a particular connection in Finsler geometry that addresses the equivalence problem. The connection considered is torsion-free and exhibits an ?almost? compatibility with the associated metric. We focus on an intrinsic investigation of a specific category of regular Finsler connections within the framework of special curvatures and connections. As a result, this leads naturally to a generalized notion of sectional curvature in Finsler geometry, along with several related comparison theorems.
References
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How to cite this paper
@article{1710290,
author = {Lavkush Pandey, S. Ruhela},
title = {Exploring Special Curvatures Connections in Finsler Geometry},
journal = {Iconic Research And Engineering Journals},
year = {2025},
volume = {8},
number = {11},
pages = {2401-2403},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1710290.pdf},
abstract = {This study examines the advantages of a particular connection in Finsler geometry that addresses the equivalence problem. The connection considered is torsion-free and exhibits an ?almost? compatibility with the associated metric. We focus on an intrinsic investigation of a specific category of regular Finsler connections within the framework of special curvatures and connections. As a result, this leads naturally to a generalized notion of sectional curvature in Finsler geometry, along with several related comparison theorems.},
month = {May},
}