Reduce Douglas metric by using the concept of special Cartan curvature

Authors
Shahid Chamran University of Ahvaz
Abstract
In this paper, by using the concept of Cartan curvature, the Douglas metric reduce to constant R.I Landsberg metric and if it's bounded, to Riemannian one. Finally, it is shown that with a condition on Cartan curvature, Landsberg, weakly Landsberg and generalized Landsberg metrics are equivalent.
Keywords

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