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A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space
hypersurfaces non-negative sectional curvature Euclidean space
2010/11/11
In a previous work, the authors gave a definition of `front bundles'. Using this, we give a realization theorem for wave fronts in space forms, like as in the fundamental theorem of surface theory. A...
The Cross Curvature Flow of 3-Manifolds with Negative Sectional Curvature
Cross curvature flow geometric evolution equation negative sectional curvature monotonicity formula hyperbolic metric
2010/2/26
We consider the cross curvature flow, an evolution equation of metrics on 3-manifolds. We establish short time existence when the sectional curvature has a sign. In the case of negative sectional curv...