On the volume of the \(\mathrm{Sp}(n) \cdot \mathrm{Sp}(1)\) shadow of a compact set

DOI10.1016/J.CRMA.2015.12.007zbMath1381.53082OpenAlexW2295449019MaRDI QIDQ1695205

Lorenzo Nicolodi, Amedeo Altavilla

Publication date: 7 February 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.12.007

zbMATH Keywords

\(4 k\)-dimensional quaternionic subspace\(4 k\)-dimensional shadowsymplectic linear non-squeezing

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Cites Work

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• Quaternionic structures on a manifold and subordinated structures
• Certain minimal or homologically volume minimizing submanifolds in compact symmetric spaces
• Calibrated geometries
• Pseudo holomorphic curves in symplectic manifolds
• Submanifolds in Hyper-Kahler Geometry
• HOW LARGE IS THE SHADOW OF A SYMPLECTIC BALL?
• Topology of Quaternionic Manifolds
• Du côté de chez Pu

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