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Regular and biregular functions in the sense of Fueter - some problems

W. Królikowski, R. Michael Porter (1994)

Annales Polonici Mathematici

The biregular functions in the sense of Fueter are investigated. In particular, the class of LR-biregular mappings (left regular with a right regular inverse) is introduced. Moreover, the existence of non-affine biregular mappings is established via examples. Some applications to the quaternionic manifolds are given.

Remarks on symmetries of parabolic geometries

Lenka Zalabová (2006)

Archivum Mathematicum

We consider symmetries on filtered manifolds and we study the | 1 | -graded parabolic geometries in more details. We discuss the existence of symmetries on the homogeneous models and we conclude some simple observations on the general curved geometries.

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