Quaternionic slice regular functions on domains without real points

Altavilla, Amedeo (2014) Quaternionic slice regular functions on domains without real points. PhD thesis, University of Trento.

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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.

Item Type:Doctoral Thesis (PhD)
Doctoral School:Mathematics
PhD Cycle:27
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/03 GEOMETRIA
Funders:FIRB: “Geometria differenziale e teoria geometrica delle funzioni”.
Repository Staff approval on:09 Jan 2015 09:19

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