Affiliation:
1. Faculty of Mathematics and Computer Sciences , Transilvania University of Brasov , Str. Iuliu Maniu, nr. 50, 500091 , Brasov , Romania .
Abstract
Abstract
The aim of this paper is to describe the infinitesimal deformation (M, V) of a complex Finsler space family {(M, Lt
)}t∈ℝ and to study some of its geometrical objects (metric tensor, non-linear connection, etc). In this circumstances the induced non-linear connection on (M, V) is defined. Moreover we have elaborate the inverse problem, the problem of the first order deformation of the metric. A special part is devoted to the study of particular cases of the perturbed metric.
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