Oberseminare und sonstige Vorträge

A hypersurface of a Lorentzian manifold is called null, if its induced metric is degenerate. In such geometries, classical some geometric concepts are unavailable and for this reason there is little knowledge about curvature flows in such spaces. Building upon a definition of mean curvature flow I developed with Henri Roesch few years ago, we extend and improve the analysis to constrained mean curvature flows, which will then enable us to foliate large classes of null hypersurfaces by surfaces of constant spacetime mean curvature. This is joint work with Wilhelm Klingenberg (Durham) and Ben Lambert (Leeds).

A hypersurface of a Lorentzian manifold is called null, if its induced metric is degenerate. In such geometries, classical some geometric concepts are unavailable and for this reason there is little knowledge about curvature flows in such spaces. Building upon a definition of mean curvature flow I developed with Henri Roesch few years ago, we extend and improve the analysis to constrained mean curvature flows, which will then enable us to foliate large classes of null hypersurfaces by surfaces of constant spacetime mean curvature. This is joint work with Wilhelm Klingenberg (Durham) and Ben Lambert (Leeds).

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