In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've studied some rigidity properties, some differential issues and an application in complex differential geometry. This application concerns the constructions and classifications of orthogonal complex structures on open domains of the four dimensional euclidean space.
Quaternionic slice regular functions on domains without real points / Altavilla, Amedeo. - (2014), pp. 1-93.
Quaternionic slice regular functions on domains without real points
Altavilla, Amedeo
2014-01-01
Abstract
In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've studied some rigidity properties, some differential issues and an application in complex differential geometry. This application concerns the constructions and classifications of orthogonal complex structures on open domains of the four dimensional euclidean space.File in questo prodotto:
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Tesi di dottorato (Doctoral Thesis)
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