On minimality and scalar curvature of CMC triharmonic hypersurfaces in pseudo-Riemannian space forms
摘要
In this paper, we first study the minimality of triharmonic hypersurfaces with constant mean curvature in pseudo-Riemannian space forms under the assumption that the shape operator is diagonalizable. Then, we prove that such nonminimal hypersurfaces have constant scalar curvature. As its applications, we estimate the constant scalar curvature and the constant mean curvature.