Title

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.

Comments

This article was originally published in International Electronic Journal of Geometry, volume 12, issue 1, in 2019.

Peer Reviewed

1

Copyright

Kazım İLARSLAN

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