Submanifolds in a Riemannian Warped Product
摘要
Conformal Killing vector fields are important objects which have been widely used in order to understand the geometry of submanifolds immersed in Riemannian spaces. In this setting, Montiel (Indiana Univ Math J 48:711–748, 1999) studied constant mean curvature compact hypersurfaces immersed in warped products of the type \(\mathbb R\times _fM^n\) and \(\mathbb S^1\times _fM^n\) .