Hypersurfaces with prescribed angle function
This paper is dedicated to the study of two-sided complete hypersurfaces immersed in a Riemannian product space. The authors obtain sufficient conditions to prove such a hypersurface to be a slice of the ambient space under suitable behaviour of its angle function. Moreover, the authors establish a natural relation between the results obtained in this article and the classical problem of the geometry of a hypersurface immersed in Euclidean space through the Gauss map of the angle function. The paper is well written.
scientific article; zbMATH DE number 6382651