3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.DG2008★ 1 cited
On the Inner Curvature of the Second Fundamental Form of a Surface in the Hyperbolic Space
Steven Verpoort
The object of study of this article is compact surfaces in the three-dimensional hyperbolic space with a positive-definite second fundamental form. It is shown that several conditi…
math.DG2007★ 3 cited
The Mean Curvature of the Second Fundamental Form of a hypersurface
Stefan Haesen, Steven Verpoort
An expression for the first variation of the area functional of the second fundamental form is given for a hypersurface in a semi-Riemannian space. The concept of the "mean curvatu…
math.DG2007
On the Area Functional of the Second Fundamental Form of Ovaloids
Steven Verpoort
The expression for the variation of the area functional of the second fundamental form of a hypersurface in a Euclidean space involves the so-called "mean curvature of the second f…