Articles liés à Generalized Beta Conformal Changes: General theory...

Generalized Beta Conformal Changes: General theory of (α,β)-metric with applications to special Finsler spaces - Couverture souple

Youssef, Nabil; Abed, Sayed; Elgendi, Salah

 
9783846581582: Generalized Beta Conformal Changes: General theory of (α,β)-metric with applications to special Finsler spaces
Couverture souple
ISBN 10 : 3846581585 ISBN 13 : 9783846581582
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

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 β-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 β-conformal change. This change combines both β-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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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 β-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 β-conformal change. This change combines both β-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.

Biographie de l'auteur

Nabil Labib Youssef: Ph. D., Professor of Mathematics at the Faculty of Science, Cairo University. Specialized in Finsler geometry (and its applications). Sayed Hassan Abed: Ph. D., Associate Professor at the Faculty of Science, Cairo University. Salah Gomaa Elgendi: M. Sc., Assistant Lecturer at the Faculty of Science, Benha University, Egypt.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3846581585
ISBN 13 
9783846581582
Reliure
Broché
Nombre de pages
120
Coordonnées du fabricant
non disponible
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