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1710290PublishedVol 8 · Issue 11

Exploring Special Curvatures Connections in Finsler Geometry

Lavkush Pandey S. Ruhela

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.

How to cite this paper

Lavkush Pandey, S. Ruhela "Exploring Special Curvatures Connections in Finsler Geometry" Iconic Research And Engineering Journals Volume 8 Issue 11 2025 Page 2401-2403
Lavkush Pandey, S. Ruhela "Exploring Special Curvatures Connections in Finsler Geometry" Iconic Research And Engineering Journals, vol. 8, no. 11, May. 2025
Lavkush Pandey, S. Ruhela (2025). Exploring Special Curvatures Connections in Finsler Geometry. Iconic Research And Engineering Journals, 8(11).
Lavkush Pandey, S. Ruhela "Exploring Special Curvatures Connections in Finsler Geometry" Iconic Research And Engineering Journals, vol. 8, no. 11, May. 2025.
@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},
  }