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Pseudocomplex and Pseudo(bi)quaternion Mappings |
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| Authors: | A. G. Gorinov |
| Affiliation: | (1) U.F.R. de mathématiques, Université Paris 7, France |
| Abstract: | A problem posed by V. I. Arnold is solved by describing all homeomorphisms of an affine quaternion space that take any left or right affine quaternion line to a left or right affine quaternion line (a left line can be taken to a right one, and vice versa). |
| Keywords: | fundamental theorem of projective geometry pseudoquaternion transformation (pseudo)quaternion geometry |
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