Antonio Ros Mulero (1987)
Revista Matemática Iberoamericana
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A fundamental question about hypersurfaces in the Euclidean space is to decide if the sphere is the only compact hypersurface (embedded or immersed) with constant higher order mean curvature H, for some r = 1, ..., n.
Wegner, Bernd (1990)
Portugaliae mathematica
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Andrejs Treibergs (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Giovanni Rotondaro (1989)
Commentationes Mathematicae Universitatis Carolinae
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Dirk Ferus, Ulrich Pinkall (1988/89)
Mathematische Zeitschrift
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Sebastião Carneiro de Almeida, Fabiano Gustavo Braga Brito (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Ximin Liu, Hongxia Li (2005)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, by using Cheng-Yau’s self-adjoint operator , we study the complete hypersurfaces in a sphere with constant scalar curvature.