Linear Weingarten spacelike hypersurfaces in de Sitter space

In this paper, we give a classification on spacelike linear Weingarten hypersurfaces in de Sitter space [S.sup.n+1.sub.1] (1) according to the sectional curvature or the length of the second fundamental form. Key words and phrases : Spacelike hypersurfaces, Linear Weingarten hypersurfaces, Totally u...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Bulletin of the Belgian Mathematical Society, Simon Stevin Simon Stevin, 2010-12, Vol.17 (5), p.769-780
Hauptverfasser:	Hou, Z.H, Yang, D
Format:	Artikel
Sprache:	eng
Schlagworte:	53A10 53C42 Linear Weingarten hypersurfaces Manifolds (Mathematics) Sectional curvature Spacelike hypersurfaces Totally umbilical hypersurfaces
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In this paper, we give a classification on spacelike linear Weingarten hypersurfaces in de Sitter space [S.sup.n+1.sub.1] (1) according to the sectional curvature or the length of the second fundamental form. Key words and phrases : Spacelike hypersurfaces, Linear Weingarten hypersurfaces, Totally umbilical hypersurfaces, Sectional curvature.
ISSN:	1370-1444 2034-1970
DOI:	10.36045/bbms/1292334054