Induced deformed Finsler metric and deformed non-linear connections

In this paper, we study induced deformed non linear connections on Finsler sub-manifolds and prove that every non linear connection on a Finslerian sub-manifold is an induced deformed non-linear connection. In addition, we provide some conditions under which Finslerian sub-manifolds are Landsbergian manifolds.

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Publication Details

Journal
DOAJ (DOAJ: Directory of Open Access Journals)
Published
2026-10-01
DOI
https://doi.org/10.22060/ajmc.2025.23772.1304
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Induced deformed Finsler metric and deformed non-linear connections

Mehdi Jafari, Yousef Alipour Fakhri, Elham Meihami
DOAJ (DOAJ: Directory of Open Access Journals)
Advanced Differential Geometry Research
article

Induced deformed Finsler metric and deformed non-linear connections

Mehdi Jafari, Yousef Alipour Fakhri, Elham Meihami
article en

Abstract

In this paper, we study induced deformed non linear connections on Finsler sub-manifolds and prove that every non linear connection on a Finslerian sub-manifold is an induced deformed non-linear connection. In addition, we provide some conditions under which Finslerian sub-manifolds are Landsbergian manifolds.

DOAJ (DOAJ: Directory of Open Access Journals)
Openalex Percentile: Top 15%
Advanced Differential Geometry Research
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Induced deformed Finsler metric and deformed non-linear connections — Mehdi Jafari, Yousef Alipour Fakhri, et al. · DOAJ (DOAJ: Directory of Open Access Journals) (2026) | TGRS Research Map | TGRS