On Generalized Douglas - Kropina Spaces
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 23, Issue 1
Abstract
Sakaguchi proved that the class of Weyl metrics belong to the class of generalized Douglas{Weyl metric. Then, Matsumoto studied Weyl{Kropina metric. Recently, Yoshikawa and Okubo obtained the conditions for a Kropina space to be of constant curvature by improving the characterization given by M.Matsumoto. In this paper, we obtain the necessary and sucient conditions for a Kropina metric to be scalar ag curvature or Weyl-Kropina metric. After that, we prove a necessary and sucient condition that characterizes generalized Douglas-Kropina metrics of scalar flag curvature.
Authors and Affiliations
S. Ceyhan, G. Civi
Keywords
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- EP ID EP321876
- DOI 10.9734/JAMCS/2017/34386
- Views 112
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