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Yamabe operator via BGG sequences

Vít Tuček (2012)

Archivum Mathematicum

We show that the conformally invariant Yamabe operator on a complex conformal manifold can be constructed as a first BGG operator by inducing from certain infinite-dimensional representation.

Zur äquiformen Geometrie in der Ebene

Zdeněk Jankovský, Miroslav Šejdl (1987)

Aplikace matematiky

Im Artikel werden die Integral- und Differentialgrundinvarianten (Bogen, Krümmung) der ebenen Kurve angesichts der äquiformen Gruppe ( -Gruppe) bei der Anwendung der komplexen Symbolik hergeleitet. Weiter werden die -minimalen Kurven, -Geraden und -Kreise von der -Geometrie festgestellt; im euklidischen Modell handelt es sich um die Geraden, Kreise und logarithmischen Spiralen.

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