Article ID Journal Published Year Pages File Type
6416930 Differential Geometry and its Applications 2013 12 Pages PDF
Abstract

We classify Kropina metrics of weakly isotropic flag curvature in dimension greater than two. Moreover, we prove that every Einstein Kropina metric in dimension greater than two is a Ricci constant metric with vanishing S-curvature in different way from Zhang and Shen (2013) [14] and prove the three-dimensional rigidity theorem for an Einstein Kropina metric.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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