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Sulle classi simplettiche di Pontrjagin

Paolo Piccinni — 1978

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

Relations are studied between the symplectic Pontrjagin classes of quaternionic vector bundles and the other characteristic classes of real and complex bundles.

The even Clifford structure of the fourth Severi variety

Maurizio PartonPaolo Piccinni — 2015

Complex Manifolds

TheHermitian symmetric spaceM = EIII appears in the classification of complete simply connected Riemannian manifolds carrying a parallel even Clifford structure [19]. This means the existence of a real oriented Euclidean vector bundle E over it together with an algebra bundle morphism φ : Cl0(E) → End(TM) mapping Ʌ2E into skew-symmetric endomorphisms, and the existence of a metric connection on E compatible with φ. We give an explicit description of such a vector bundle E as a sub-bundle of End(TM)....

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