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On two important classes of (α,β)-metrics being projectively related

Author:

Pradeep Kumar, Ramesha, M. and Madhu, T.S.

Subject Area:

Physical Sciences and Engineering

Abstract:

The treatment of choice for a In this article, we find the necessary and sufficient condition under which the (α,β)-metric F=c_1 α+c_2 β+β^2/α; c_2≠0 is projectively related to a Kropina metric on a manifold M of dimension n ≥ 3, where α and α ̅ are two Riemannian metrics, β and β ̅ are two non zero 1-forms.

PDF file:

31163.pdf

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