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arXiv · 2512.20125

On the spectral diameter of the Grassmannians

Habib Alizadeh·Marcelo S. Atallah·Dylan Cant·Jianqiao Shang
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Abstract

The diameter of the spectral pseudometric on the universal cover of the Hamiltonian diffeomorphism group of $\mathrm{Gr}(2,p)$ is shown to be finite whenever $p$ is a prime number. On the other hand, it is shown that the diameter is infinite in the case of $\mathrm{Gr}(2k,2n)$ for all natural numbers $k<n$.

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Habib Alizadeh, Marcelo S. Atallah, Dylan Cant, Jianqiao Shang. 2025-12-23. On the spectral diameter of the Grassmannians. https://arxiv.org/abs/2512.20125

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