Curvature estimates for graphs in warped product spaces

We prove local and global upper estimates for the infimum of the mean curvature, the scalar curvature and the norm of the shape operator of graphs in a warped product space. Using these estimates, we obtain some results on pseudo-hyperbolic spaces and space forms.

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Veröffentlicht in:	Differential geometry and its applications 2023-02, Vol.86, p.101973, Article 101973
Hauptverfasser:	Barreto, Alexandre P., Coswosck, Fabiani A., Hartmann, Luiz
Format:	Artikel
Sprache:	eng
Schlagworte:	Graphs over Riemannian domains Mean curvature Norm of the second fundamental form Scalar curvature Warped products
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Beschreibung
Zusammenfassung:	We prove local and global upper estimates for the infimum of the mean curvature, the scalar curvature and the norm of the shape operator of graphs in a warped product space. Using these estimates, we obtain some results on pseudo-hyperbolic spaces and space forms.
ISSN:	0926-2245 1872-6984
DOI:	10.1016/j.difgeo.2022.101973