We recall that a Killing vector field defined on a Riemannian manifold is a smooth vector field whose flow constitutes a 1-parameter group of isometries of this manifold. It is well-known that Killing vector fields play an important role into submanifold theory.

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Submanifolds Immersed in a Killing Warped Product

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

摘要

We recall that a Killing vector field defined on a Riemannian manifold is a smooth vector field whose flow constitutes a 1-parameter group of isometries of this manifold. It is well-known that Killing vector fields play an important role into submanifold theory.