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arXiv · 1604.02850

Curvatures of left invariant Randers metric on the five-dimensional Heisenberg group

A. Lengyelné-Tóth·Z. Kovács
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Abstract

A left invariant Z-Randers metric on the five-dimensional Heisenberg group is a left invariant Randers metric with deformation vector from the center of the Heisenberg algebra. In this note we prove that for every left invariant Z-Randers metric on the five-dimensional Heisenberg group there exist flags of strictly negative and there exist flags of strictly positive curvatures.

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A. Lengyelné-Tóth, Z. Kovács. 2016-04-11. Curvatures of left invariant Randers metric on the five-dimensional Heisenberg group. https://arxiv.org/abs/1604.02850

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