Harmonic mappings and hyperbolic Plücker transformations |
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| Authors: | Klaus List |
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| Institution: | (1) TU Wien–Institut für Geometrie, Wiedner Hauptstrasse 8-10, A-1040 Wien, e-mail: klaus.list@tuwien.ac.at, AT |
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| Abstract: | Let be a 3-dimensional hyperbolic space with Euclidean ground field . There is a certain procedure by which any harmonic mapping of the projective line over the unique quadratic extension of
induces an orthogonality-preserving Plücker transformation of and, conversely, any orthogonality-preserving Plücker transformation of is induced by such a harmonic mapping.
Received 30 July 1999; revised 25 November 1999. |
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| Keywords: | : Plücker transformations hyperbolic space harmonic mappings |
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