A sharp integral inequality for closed spacelike submanifolds immersed in the de Sitter space

In this paper, we establish a sharp integral inequality for n -dimensional closed spacelike submanifolds with constant scalar curvature immersed with parallel normalized mean curvature vector field in the de Sitter space S p n + p of index p , and we use it to characterize totally umbilical round sp...

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Veröffentlicht in:	Archiv der Mathematik 2021-06, Vol.116 (6), p.683-691
Hauptverfasser:	de Lima, Henrique F., dos Santos, Fábio R., Rocha, Lucas S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Curvature Fields (mathematics) Integrals Manifolds (mathematics) Mathematics Mathematics and Statistics Operators (mathematics)
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