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Hassan Maleki

Hassan Maleki

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
On general (α, β)-metrics of Landsberg type
Type
JournalPaper
Keywords
Finsler metric; general (α, β)-metrics; Landsberg metric.
Year
2016
Journal INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
DOI
Researchers Mosayeb Zohrehvand ، Hassan Maleki

Abstract

In this paper, we study a class of Finsler metrics, which are defined by a Riemannian metric α and a one-form β. They are called general (α, β)-metrics. We have proven that, every Landsberg general (α, β)-metric is a Berwald metric, under a certain condition. This shows that the hunting for an unicorn, one of the longest standing open problem in Finsler geometry, cannot be successful in the class of general (α, β)-metrics.