A new criterion for local invertibility of slice regular quaternionic functions is obtained. This paper is motivated by the need to find a geometrical interpretation for analytic conditions on the real Jacobian associated with a slice-regular function f. The criterion involves spherical and Cullen derivatives of f and gives rise to several geometric implications, including an application to related conformality properties.
On a criterion of local invertibility and conformality for slice regular quaternionic functions / A. Gori, F. Vlacci. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - 62:1(2019 Feb), pp. 97-105. [10.1017/S0013091518000226]
On a criterion of local invertibility and conformality for slice regular quaternionic functions
A. Gori
Primo
;
2019
Abstract
A new criterion for local invertibility of slice regular quaternionic functions is obtained. This paper is motivated by the need to find a geometrical interpretation for analytic conditions on the real Jacobian associated with a slice-regular function f. The criterion involves spherical and Cullen derivatives of f and gives rise to several geometric implications, including an application to related conformality properties.File | Dimensione | Formato | |
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