Kropina change of a Finsler space with m-th root metric

2017/12/23 by Gauree Shanker, Shanker, Gauree, Vijeta Singh +1
Physics and Astronomy · #53B40 #53C60 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1712.08742

openalex publication_date 2017/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we find a condition under which a Finsler space with Kropina change of mth-root metric is projectively related to a mth-root metric and also we find a condition under which this Kropina transformed mth-root metric is locally dually flat. Moreover we find the condition for its Projective flatness.

Related

• On Kropina Change of m-th Root Finsler Metrics
• On Generalized m-th Root Finsler Metrics
• Finsler space subjected to a Kropina change with an h-vector
• Projective relations for m-th root metric spaces
• On projective two-dimensional Finsler spaces with special metric