A characterization of submanifolds of extrinsic symmetric spaces

作者：Eschenburg J^*; Tribuzy R

来源：Differential Geometry and its Applications, 2010, 28(3): 355-358.

DOI：10.1016/j.difgeo.2010.01.002

• Vector subbundles
• Connections
• Gauss equations

A submanifold M subset of R(n) lies in the sphere S(n-1) iff it carries a parallel umbilic normal vector field. We extend this theorem by replacing the sphere S(n-1) by an arbitrary extrinsic symmetric space S subset of R(n).

• 出版日期2010-6