Spherical-type hypersurfaces in a Riemannian manifold (Q1173831)

Using the notion of almost conformal vector fields, the authors prove some results for compact hypersurfaces, which bound a domain in a Riemannian manifold. These results are related to the Alexandrov theorem, which characterizes the sphere as the only compact hypersurface embedded in \(\mathbb{R}^ n\) with constant mean curvature, and the corresponding version of A. Ros for the constant scalar curvature case. The proofs use, among other things, some ideas and results of R. Reilly.