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arXiv · 0706.0854

On the zero set of the Kobayashi--Royden pseudometric of the spectral unit ball

Nikolai Nikolov·Pascal J. Thomas
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Abstract

Given $A\inΩ_n,$ the $n^2$-dimensional spectral unit ball, we show that $B$ is a "generalized" tangent vector at $A$ to an entire curve in $Ω_n$ if and only if $B$ is in the tangent cone $C_A$ to the isospectral variety at $A.$ In the case of $Ω_3,$ the zero set of this metric is completely described.

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Nikolai Nikolov, Pascal J. Thomas. 2007-11-13. On the zero set of the Kobayashi--Royden pseudometric of the spectral unit ball. https://arxiv.org/abs/0706.0854

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