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Talks by Stefan Haesen

On the Casorati curvature

Katholieke Universiteit Leuven

A classical geometrical interpretation for the squared length of the second fundamental form, or Casorati curvature, of a surface in Euclidean three-space will be recalled and extended for submanifolds with arbitrary codimension in a Riemannian manifold. We will argue that the Casorati curvature coincides with our "intuitive" notion of curvature. This curvature is then used to obtain an optimal inequality between the intrinsic scalar curvature and an extrinsic curvature invariant of a submanifold in a Riemannian space form. The equality case in the inequality characterizes totally quasi-umbilical submanifolds.

Sala de conferencias

Compact spacelike surfaces in a 3D spacetime with non-degenerate second fundamental form

Katholieke Universiteit Leuven

Symmetries and space-times

Katholieke Universiteit Leuven


Stefan Haesen

Katholieke Universiteit Leuven (Bélgica)

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