Hyperbolic conformality in multidimensional hyperbolic spaces

A. Golberg; M. E. Luna-Elizarrarás

doi:10.1002/mma.7109

Hyperbolic conformality in multidimensional hyperbolic spaces

A. Golberg, M. E. Luna-Elizarrarás

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In a previous work, the hyperbolic conformality for bicomplex functions was introduced, and it was proved that, with the adequate hypothesis, a bicomplex holomorphic function is hyperbolic conformal. The aim of this paper is to extend this idea to (Formula presented.), with (Formula presented.) the set of hyperbolic numbers. Thus, the fundaments of the analysis in (Formula presented.) are presented here, as well as the generalization of some geometric hyperbolic objects that were defined in the context of bicomplex analysis.

Original language	English
Journal	Mathematical Methods in the Applied Sciences
DOIs	https://doi.org/10.1002/mma.7109
State	Accepted/In press - 2020
Externally published	Yes

Keywords

conformality
hyperbolic angles
hyperbolic curves
hyperbolic numbers

Access to Document

10.1002/mma.7109

Cite this

@article{40d6d58a11614f7a911225b7b1404146,

title = "Hyperbolic conformality in multidimensional hyperbolic spaces",

abstract = "In a previous work, the hyperbolic conformality for bicomplex functions was introduced, and it was proved that, with the adequate hypothesis, a bicomplex holomorphic function is hyperbolic conformal. The aim of this paper is to extend this idea to (Formula presented.), with (Formula presented.) the set of hyperbolic numbers. Thus, the fundaments of the analysis in (Formula presented.) are presented here, as well as the generalization of some geometric hyperbolic objects that were defined in the context of bicomplex analysis.",

keywords = "conformality, hyperbolic angles, hyperbolic curves, hyperbolic numbers",

author = "A. Golberg and Luna-Elizarrar{\'a}s, {M. E.}",

note = "Publisher Copyright: {\textcopyright} 2020 John Wiley & Sons, Ltd.",

year = "2020",

doi = "10.1002/mma.7109",

language = "Ingl{\'e}s",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

}

TY - JOUR

T1 - Hyperbolic conformality in multidimensional hyperbolic spaces

AU - Golberg, A.

AU - Luna-Elizarrarás, M. E.

PY - 2020

Y1 - 2020

N2 - In a previous work, the hyperbolic conformality for bicomplex functions was introduced, and it was proved that, with the adequate hypothesis, a bicomplex holomorphic function is hyperbolic conformal. The aim of this paper is to extend this idea to (Formula presented.), with (Formula presented.) the set of hyperbolic numbers. Thus, the fundaments of the analysis in (Formula presented.) are presented here, as well as the generalization of some geometric hyperbolic objects that were defined in the context of bicomplex analysis.

AB - In a previous work, the hyperbolic conformality for bicomplex functions was introduced, and it was proved that, with the adequate hypothesis, a bicomplex holomorphic function is hyperbolic conformal. The aim of this paper is to extend this idea to (Formula presented.), with (Formula presented.) the set of hyperbolic numbers. Thus, the fundaments of the analysis in (Formula presented.) are presented here, as well as the generalization of some geometric hyperbolic objects that were defined in the context of bicomplex analysis.

KW - conformality

KW - hyperbolic angles

KW - hyperbolic curves

KW - hyperbolic numbers

UR - http://www.scopus.com/inward/record.url?scp=85097956476&partnerID=8YFLogxK

U2 - 10.1002/mma.7109

DO - 10.1002/mma.7109

M3 - Artículo

AN - SCOPUS:85097956476

SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -

Hyperbolic conformality in multidimensional hyperbolic spaces

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this