摘要
In this paper,we obtain a sufficient and necessary condition for a simply connected Riemannian manifold(M^n,g) to be isometrically immersed,as a submanifold with codimension p 〉 1,into the product S^k×H^n+p+k of sphere and hyperboloid.
In this paper,we obtain a sufficient and necessary condition for a simply connected Riemannian manifold(M^n,g) to be isometrically immersed,as a submanifold with codimension p 〉 1,into the product S^k×H^n+p+k of sphere and hyperboloid.
基金
Supported by NSFC(Grant Nos.11171091,11371018)
partially supported by NSF of He'nan Province(Grant No.132300410141)