2024 : 11 : 16
Mosayeb Zohrehvand

Mosayeb Zohrehvand

Academic rank: Assistant Professor
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Education: PhD.
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Faculty: Mathematical Sciences and Statistics
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Research

Title
Projective change between G.R.C. exponential metrics and Randers metrics
Type
JournalPaper
Keywords
(α, β)-metrics , non-Riemannian quantity , projective change , Randers metric , generalized Randers change
Year
2024
Journal Analele Stiintifice ale Universitatii Al I Cuza din Iasi-Serie Noua-Matematica
DOI
Researchers Mosayeb Zohrehvand

Abstract

In this paper, we find the necessary and sufficient conditions under which two classes of (α, β)-metrics, i.e. generalized Randers change (G.R.C.) exponential metric F = α exp(β/α) + ϵβ and Randers metric ˜ F = ˜α + ˜β are projectively related. Note that α and ˜α are Riemannian metrics, β and ˜β are 1-forms on a manifold M with dimension n > 2 and ϵ ̸= 0 is a constant. Furthermore, we study this projective relation when F has special curvature properties.