交映椭圆体的光谱直径

arXiv - MATH - Symplectic Geometry Pub Date : 2024-08-13 DOI:arxiv-2408.07214

Habib Alizadeh, Marcelo S. Atallah, Dylan Cant

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引用次数: 0

摘要

研究表明，交映球的谱直径等于其容量；这一结果将已知约束提升了 2 倍，并得出了交映椭圆体谱直径的简单公式。我们还研究了谱直径与两球打包之间的关系。

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The spectral diameter of a symplectic ellipsoid

The spectral diameter of a symplectic ball is shown to be equal to its capacity; this result upgrades the known bound by a factor of two and yields a simple formula for the spectral diameter of a symplectic ellipsoid. We also study the relationship between the spectral diameter and packings by two balls.

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arXiv - MATH - Symplectic Geometry

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