Wiesław Królikowski

Fueter - hurwitz regular mappings and an integral representation

An index formula is defined and it is used to derive a sufficiently general Cauchy integral formula for regular mappings in the euclidean Hurwitz pairs theory. Such a formula is a generalisation of the standard one known from the complex analysis.

On some lagrangian model concerning the solitary waves

Abstract The purpose of this paper is to apply Finslers geometric ideas to formulate the field theory containing solitons as solutions of the field equations. Moreover, the connections with the Lax representation of soliton equations and with the Kadomtsev–Petviasvili system are shown.

On Lichnerowicz smooth homotopy invariants for G-structures

In [10] A. Lichnerowicz introduced a remarkable smooth homotopy invariant for maps between almost Kahler manifolds.The generalisations of for maps between Riemannian manifolds with given G-structures are described and some applications are given.

Biregular Quaternionic Functions

We examine regular functions of a quaternionic variable whose inverse is also regular. The most interesting case is when the inverse of a left regular function is right regular.