Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416930 | Differential Geometry and its Applications | 2013 | 12 Pages |
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.
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qiaoling Xia,