Generalized Beta Conformal Changes - Youssef, Nabil;Abed, Sayed;Elgendi, Salah
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Transformations or changes of Finsler metrics have many applications not only in differential geometry but also in various branches of science, especially in physics. These changes have been studied by many authors, from both the mathematical and physical aspects. G. Randers, in 1941, introduced the Randers change. M. Masumoto, in 1974, studied the Randers change and generalized Randers change. V. Kropina, in 1961, introduced the Kropina change. On the other hand, in 1976, M. Hashiguchi studied the conformal change of Finsler metrics. In 2008, S. Abed introduced the -conformal change, thus…mehr

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Produktbeschreibung
Transformations or changes of Finsler metrics have many applications not only in differential geometry but also in various branches of science, especially in physics. These changes have been studied by many authors, from both the mathematical and physical aspects. G. Randers, in 1941, introduced the Randers change. M. Masumoto, in 1974, studied the Randers change and generalized Randers change. V. Kropina, in 1961, introduced the Kropina change. On the other hand, in 1976, M. Hashiguchi studied the conformal change of Finsler metrics. In 2008, S. Abed introduced the -conformal change, thus generalizing the conformal, Randers and generalized Randers changes. In this work, we introduce a more general change of Finsler metrics, which is referred to as a generalized -conformal change. This change combines both -change and conformal change, in a general setting, generalizing the most important changes existing in the literature. The geometric consequences of such change are investigated. Various special Finsler spaces are studied under this change. This book is highly recommended to both postgraduate students and researchers in geometry and its applications, especially in physics.
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Autorenporträt
Nabil Youssef, Ph. D., Professor of Mathematics, Faculty of Science-Cairo University, Specialized in Finsler geometry (and its applications), Author, editor and referee in several mathematical journals. S. Abed, Ph. D., Associate Professor, Faculty of Science-Cairo University. A. Soleiman, Ph. D., Lecturer, Faculty of Science-Benha University.