Estimates of B.-Y. Chen’s δˆ-Invariant in Terms of Casorati Curvature and Mean Curvature for Strictly Convex Euclidean Hypersurfaces
Document Type
Article
Publication Date
3-27-2019
Abstract
B.-Y. Chen’s δˆ-invariants can be estimated in function of other curvature terms through an algebraic process using the AM-GM and AM-QM inequalities. This procedure works on strictly convexsmooth hypersurfaces lying in an Euclidean ambient space, and the estimates relate some δˆ-invariants to Germain’s mean curvature and Casorati curvature. As a consequence, we obtain a new string of inequalities in the geometry of strictly convex smooth hypersurfaces.
Recommended Citation
Suceava B , Vajiac M . Estimates of B.-Y. Chen’s δˆ-Invariant in Terms of Casorati Curvature and Mean Curvature for Strictly Convex Euclidean Hypersurfaces. International Electronic Journal of Geometry. 2019; 12(1): 26-31.
Peer Reviewed
1
Copyright
Kazım İLARSLAN
Comments
This article was originally published in International Electronic Journal of Geometry, volume 12, issue 1, in 2019.