Constant Gauss-Kronecker Curvature Research Articles

Closed hypersurfaces of R4 with constant Gauss-Kronecker curvature

Closed hypersurfaces of R4 with constant Gauss-Kronecker curvature

Complete maximal spacelike hypersurfaces ofH 1 4 (c)*

In this paper, we prove that the hyperbolic cylinderH 1(c 1)×H 2(c 2) is the only complete maximal spacelike hypersurfaces inH 1 4 (c) with nonzero constant Gauss-Kronecker curvature and give a characterization of complete maximal spacelike hypersurfaces ofH 1 4 (c) with constant scalar curvature.

Minimal hypersurfaces ofS 4 with constant Gauss-Kronecker curvature

Minimal hypersurfaces ofS 4 with constant Gauss-Kronecker curvature