Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel shape operator

Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel shape operator

We introduce the notion of generalized Tanaka-Webster connection for hypersurfaces in complex two-plane Grassmannians G2(Cm+2) and give a non-existence theorem for Hopf hypersurfaces in G2(Cm+2) with parallel shape operator in this connection.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Kodai mathematical journal 2011, Vol.34 (3), p.352-366
Hauptverfasser: Jeong, Imsoon, Lee, Hyunjin, Suh, Young Jin
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We introduce the notion of generalized Tanaka-Webster connection for hypersurfaces in complex two-plane Grassmannians G2(Cm+2) and give a non-existence theorem for Hopf hypersurfaces in G2(Cm+2) with parallel shape operator in this connection.
ISSN:0386-5991
DOI:10.2996/kmj/1320935546