Hypersurface geometry and Hamiltonian systems of hydrodynamic type.
Hypersurfaces in 4-dimensional Euclidean space
Hypersurfaces with constant curvature in
We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in with constant curvature bounding a planar closed (n-1)-submanifold.
Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere.
Hypersurfaces with constant scalar curvature in space forms.