Hypersurfaces in non-flat pseudo-Riemannian space forms satisfying a linear condition in the linearized operator of a higher order mean curvature
The authors study the geometry of hypersurfaces in a pseudo-Riemannian de Sitter or anti-de Sitter space. They prove a classification theorem for hypersurfaces satisfying a linear condition in the linearized operator of a higher-order mean curvature. In the proof of the theorem, the authors introduce new techniques based on the complexification of the shape operator of a hypersurface.
scientific article; zbMATH DE number 6157589