ON DOUGLAS TENSOR OF INFINITE SERIES FINSLER SPACE

In this article, we consider the Finsler space Fn (n > 2) with an infiniteseries (α, β)-metric and establish the necessary and sufficient conditions for it to be of Douglas type. Additionally, we demonstrate the criteria under which this metric in a Finsler space becomes a Berwald space. Furthermore, the space is shown to be projectively flat if it is a Berwald space.

Authors

Publication Details

Journal
Facta Universitatis Series Mathematics and Informatics
Published
2025-04-16
DOI
https://doi.org/10.22190/fumi230903005g
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

ON DOUGLAS TENSOR OF INFINITE SERIES FINSLER SPACE

M. K. Gupta, Cenap Özel, Abha Sahu
Facta Universitatis Series Mathematics and Informatics
Advanced Differential Geometry Research
article

ON DOUGLAS TENSOR OF INFINITE SERIES FINSLER SPACE

M. K. Gupta, Cenap Özel, Abha Sahu
article en

Abstract

In this article, we consider the Finsler space Fn (n > 2) with an infiniteseries (α, β)-metric and establish the necessary and sufficient conditions for it to be of Douglas type. Additionally, we demonstrate the criteria under which this metric in a Finsler space becomes a Berwald space. Furthermore, the space is shown to be projectively flat if it is a Berwald space.

Facta Universitatis Series Mathematics and Informatics
Openalex Percentile: Top 87%
Advanced Differential Geometry Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

ON DOUGLAS TENSOR OF INFINITE SERIES FINSLER SPACE — M. K. Gupta, Cenap Özel, et al. · Facta Universitatis Series Mathematics and Informatics (2025) | TGRS Research Map | TGRS