Год выпуска: 2012
Автор: Nabil Youssef,Sayed Abed and Salah Elgendi
Издательство: LAP Lambert Academic Publishing
Страниц: 120
ISBN: 9783846581582
Описание 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... |
