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A Note on a Class of Finsler Metrics of Isotropic S-Curvature

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 نشر من قبل Guojun Yang
 تاريخ النشر 2013
  مجال البحث
والبحث باللغة English
 تأليف Guojun Yang




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An $(alpha,beta)$-metric is defined by a Riemannian metric and $1$-form. In this paper, we investigate the known characterization for $(alpha,beta)$-metrics of isotropic S-curvature. We show that such a characterization should hold in dimension $nge 3$, and for the 2-dimensional case, there is one more class of isotropic S-curvature than the higher dimensional ones. Further, we construct corresponding examples for every two-dimensional class, especially for the class that the norm of $beta$ with respect to $alpha$ is not a constant.


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