Algebraic Regularity over Quaternions and Regular Four-Manifolds
Complex Variables
2015-11-30 v1
Abstract
Based on a new generalization of Cauchy-Riemann system presented in this paper, we introduce a class of quaternion-valued functions of a quaternionic variable, which are called algebraic regular functions. The set of algebraic regular functions is not only a real associative algebra, but also respect the composition of functions. Using algebraic regular functions as transition maps, we introduce a class of four-manifolds called the regular four-manifolds.
Cite
@article{arxiv.1511.08532,
title = {Algebraic Regularity over Quaternions and Regular Four-Manifolds},
author = {Keqin Liu},
journal= {arXiv preprint arXiv:1511.08532},
year = {2015}
}
Comments
5 pages