A new criterion for local invertibility of slice{regular quaternionic functions is obtained. This paper is motivated by the need of nding a geometrical interpretation for analytic conditions on the real Jacobian associated to 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 / Anna Gori; Fabio Vlacci. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - STAMPA. - 62:(2019), pp. 97-105. [10.1017/S0013091518000226]
On a criterion of local invertibility and conformality for slice{regular quaternionic functions
Fabio Vlacci
2019
Abstract
A new criterion for local invertibility of slice{regular quaternionic functions is obtained. This paper is motivated by the need of nding a geometrical interpretation for analytic conditions on the real Jacobian associated to 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.
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