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arxiv: 1706.07827 · v1 · pith:CNNJOUOEnew · submitted 2017-06-23 · 🧮 math.DG

On m-th root metrics with special curvature properties

classification 🧮 math.DG
keywords m-thmetricrootcurvatureeveryh-curvaturelandsbergvanishing
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In this Note, we prove that every m-th root Finsler metric with isotropic Landsberg curvature reduces to a Landsberg metric. Then, we show that every m-th root metric with almost vanishing H-curvature has vanishing H-curvature.

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