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 \(\mathbb S^1\times _fM^n\) .

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Submanifolds in a Riemannian Warped Product

  • Henrique Fernandes de Lima,
  • Giovanni Molica Bisci,
  • Marco Antonio Lázaro Velásquez

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 \(\mathbb S^1\times _fM^n\) .