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Forme di Hilbert e proprietà estremali in una varietà a struttura quaternionale generalizzata

Marcello Bruni — 1978

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Let 𝒱 n be an n -dimensional quaternion vector space and V 4 n the under­lying 4 n -dimensional real vector space. In Λ p V 4 n ( p < n ) we define some “Hilbert forms” and investigate its extremal properties. Consequently we establish Wirtinger's minimal theorem for a quaternionic manifold.

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