On Matsumoto change of m-th root finsler metrics | Zendy

Akbar Tayebi | Zendy; Shahbazi Nia | Zendy

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On Matsumoto change of m-th root finsler metrics

Author(s) -

Akbar Tayebi,

Shahbazi Nia

Publication year - 2017

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1715183t

Subject(s) - mathematics , root (linguistics) , subspace topology , metric (unit) , pure mathematics , mathematical analysis , linguistics , philosophy , operations management , economics

We consider Matsumoto change of Finsler metrics. First, we find a condition under which the Matsumoto change of a Finsler metric is projectively related to it. Then, considering the subspace of m-th root Finsler metrics, if F̄ is the Matsumoto change of F , we prove that F̄ is locally projectively flat if and only if it is locally dually flat. In this case, F and F̄ reduce to locally Minkowskian metrics.

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