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arXiv · 1710.02945

Diameter of $SU_2$ for a left-invariant axisymmetric Riemannian metric

A. V. Podobryaev
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Abstract

We consider the Lie group $SU_2$ endowed with a left-invariant axisymmetric Riemannian metric. This means that a metric has eigenvalues $I_1 = I_2, I_3 > 0$. We give an explicit formula for the diameter of such metric. Other words, we compute the diameter of Berger's sphere.

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A. V. Podobryaev. 2017-10-16. Diameter of $SU_2$ for a left-invariant axisymmetric Riemannian metric. https://doi.org/10.1134/s0001434618050188

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