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Sulle classi caratteristiche di un fibrato di sfere

Manlio Bordoni — 1973

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

A modification of the original definition of Stiefel-Whitney classes w i is given. A geometrical specification of the construction of Teleman's classes t i , defined in [5], is also given. A direct proof of the equalities t i ( ξ ) = w i ( η ) follows, when η , ξ are a real vector bundle and the associated sphere bundle with antipodal involution.

On the spectrum of Riemannian submersions with totally geodesic fibers

Gérard BessonManlio Bordoni — 1990

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

In this Note we give a rule to compute explicitely the spectrum and the eigenfunctions of the total space of a Riemannian submersion with totally geodesic fibers, in terms of the spectra and eigenfunctions of the typical fiber and any associated principal bundle.

Costruzione di gusci sottili: dalla teoria matematica al prodotto finito

Manlio BordoniAlberto Boschetto — 2012

La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana

In questo lavoro si propone un metodo per costruire materialmente gusci sottili partendo dalla loro rappresentazione matematica. I gusci sottili sono oggetti dispessore (relativamente) piccolo, rappresentabili matematicamente come superfici ispessite ovvero come intorni tubolari di una superficie considerata come sottovarietà dello spazio euclideo tridimensionale. Il modello matematico, ottenuto a partire da equazioni della superficie, viene poi tradotto per via informatica in linguaggio macchina....

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