GENERALIZED β-CONFORMAL CHANGE AND SPECIAL FINSLER SPACES
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...
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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...
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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...
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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 کاملFinsler Connections in Generalized Lagrange Spaces
The Chern–Rund connection from Finsler geometry is settled in the generalized Lagrange spaces. For the geometry of these spaces, we refer to [5]. Mathematics Subject Classification: 53C60
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2012
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887812500168