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Raumwinkelkonforme Abbildungen

  • I Section — Quasiconformal And Quasiregular Mappings, Teichmüller Spaces And Kleinian Groups
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1013))

Zusammenfassung

Das Potential einer Doppelschicht mit konstantem Moment μ=1 ist ein Integral der Form

$$I = \iint\limits_S {\frac{\partial }{{\partial n}}\left( {\frac{l}{r}} \right)do}.$$

Es ist (bis ev. auf das Vorzeichen) gleich dem räumlichen Winkel, unter welchem der Rand des Flächenstückes F von einem Punkt P aus erscheint.

In vorliegender Arbeit wird die Klasse derjenigen analytischen Abbildungen angegeben, welche den räumlichen Winkel erhalten.

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Literaturangabe

  1. Courant-Hilbert, Vorlesungen über diff.-und Integralrechnung II, Springer, 1972

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  2. Caraman P., n-dimensional quasiconformal mappings, Abacus, 1974.

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Cabiria Andreian Cazacu Nicu Boboc Martin Jurchescu Ion Suciu

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© 1983 Springer-Verlag

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Wohlhauser, A. (1983). Raumwinkelkonforme Abbildungen. In: Cazacu, C.A., Boboc, N., Jurchescu, M., Suciu, I. (eds) Complex Analysis — Fifth Romanian-Finnish Seminar. Lecture Notes in Mathematics, vol 1013. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066531

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  • DOI: https://doi.org/10.1007/BFb0066531

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12682-9

  • Online ISBN: 978-3-540-38671-1

  • eBook Packages: Springer Book Archive

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