Kropina change of \(m\)th root metric and its conformal transformation (Q2904156)

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scientific article; zbMATH DE number 6063610
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Kropina change of \(m\)th root metric and its conformal transformation
scientific article; zbMATH DE number 6063610

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    6 August 2012
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    Kropina change
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    \(m\)th root metric
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    conformal transformation
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    Kropina change of \(m\)th root metric and its conformal transformation (English)
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    The present paper is devoted to the study of a Finsler fundamental function of type NEWLINE\[NEWLINEF(x, y)=\frac{\alpha ^m(x, y)}{\beta ^{m-1}(x, y)}NEWLINE\]NEWLINE where NEWLINE\[NEWLINE\alpha ^m=a_{i_1...i_m}(x)y^{i_1}...y^{i_m}NEWLINE\]NEWLINE is a \(m\)th root metric and \(\beta =b_i(x)y^i\) is a \(1\)-form.
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