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Esmaeil Peyghan

Esmaeil Peyghan

Academic rank: Professor
ORCID: https://orcid.org/0000-0002-2713-6253
Education: PhD.
ScopusId: 14036221900
Faculty: Science
Address: Arak University
Phone:

Research

Title
ON RANDERS CHANGE OF m-TH ROOT FINSLER METRICS
Type
JournalPaper
Keywords
Locally dually flat metric, projectively flat metric, m-th root metric
Year
2015
Journal International Electronic Journal of Geometry
DOI
Researchers Akbar Tayebi ، Mohammad Shahbazi Nia ، Esmaeil Peyghan

Abstract

In this paper, we consider Randers change of m-th root Finsler metrics. We find necessary and sufficient condition under which a Randers change of an m-th root metric be locally dually flat. Then we prove that the Rander change of an m-th root Finsler metric is locally projectively flat if and only if it is locally Minkowskian.