THE GENERALIZED beta-CONFORMAL CHANGE OF FINSLER METRIC
نویسندگان
چکیده
منابع مشابه
Conformal change of special Finsler spaces
The present paper is a continuation of the foregoing paper [16]. The main aim is to establish an intrinsic investigation of the conformal change of the most important special Finsler spaces. Necessary and sufficient conditions for such special Finsler manifolds to be invariant under a conformal change are obtained. Moreover, the conformal change of Chern and Hashiguchi connections, as well as t...
متن کاملOn Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric
Let be an n-dimensional Riemannian manifold, and be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation induces an infinitesimal homothetic transformation on . Furthermore, the correspondence gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on onto the Lie algebra of infinitesimal ...
متن کاملA ug 2 00 9 Generalized β - conformal change of Finsler metrics ∗
In this paper, we introduce and investigate a general transformation or change of Finsler metrics, which is referred to as a generalized β-conformal change: L(x, y) −→ L(x, y) = f(eL(x, y), β(x, y)). This transformation combines both β-change and conformal change in a general setting. The change, under this transformation, of the fundamental Finsler connections, together with their associated g...
متن کاملJu n 20 09 Generalized β - conformal change of Finsler metrics
In this paper, we introduce and investigate a general transformation or change of Finsler metrics, which is referred to as a generalized β-conformal change: L(x, y) −→ L(x, y) = f(eL(x, y), β(x, y)). This transformation combines both β-change and conformal change in a general setting. The change, under this transformation, of the fundamental Finsler connections, together with their associated g...
متن کاملFe b 20 06 Conformal β - change in Finsler spaces
We investigate what we call a conformal β-change in Finsler spaces, namely L(x, y) → * L(x, y) = e σ(x) L(x, y) + β(x, y) where σ is a function of x only and β(x, y) is a given 1-form. This change generalizes various types of changes: conformal changes, Randers changes and β-changes. Under this change, we obtain the relationships between some tensors associated with (M, L) and the corresponding...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2015
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v103i2.11