The theory of slice-regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains Ω of R4. When Ω is a symmetric slice domain, the twistor transform of such a function is a holomorphic curve in the Klein quadric. The case in which Ω is the complement of a parabola is studied in detail and described by a rational quartic surface in the twistor space CP3.
Abstract. A class of minimal almost complex submanifolds of a Riemannian manifold M ̃ 4n with a para...
3siWe present an original way to introduce quaternionic and octonionic analogs of the classical Rie...
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to de...
In the present paper we introduce the class of slice-polynomial functions: slice regular functions d...
In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
Given a slice regular function f:Ω⊂H→H, with Ω∩R≠∅, it is possible to lift it to surfaces in the twi...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
This book presents the extensions to the quaternionic setting of some of the main approximation resu...
As in the case of irreducible holomorphic symplectic manifolds, the period domain $Compl$ of compact...
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepe...
We study global properties of quaternionic slice regular functions (also called s-regular) defined o...
In this paper, we prove some splitting results for holomorphic functions of a complex variable and f...
Along with the development of the theory of slice regular functions over the real algebra of quatern...
Abstract. A class of minimal almost complex submanifolds of a Riemannian manifold M ̃ 4n with a para...
3siWe present an original way to introduce quaternionic and octonionic analogs of the classical Rie...
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to de...
In the present paper we introduce the class of slice-polynomial functions: slice regular functions d...
In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
Given a slice regular function f:Ω⊂H→H, with Ω∩R≠∅, it is possible to lift it to surfaces in the twi...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
This book presents the extensions to the quaternionic setting of some of the main approximation resu...
As in the case of irreducible holomorphic symplectic manifolds, the period domain $Compl$ of compact...
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepe...
We study global properties of quaternionic slice regular functions (also called s-regular) defined o...
In this paper, we prove some splitting results for holomorphic functions of a complex variable and f...
Along with the development of the theory of slice regular functions over the real algebra of quatern...
Abstract. A class of minimal almost complex submanifolds of a Riemannian manifold M ̃ 4n with a para...
3siWe present an original way to introduce quaternionic and octonionic analogs of the classical Rie...
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to de...