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Isometric Immersions of Higher Codimension in to the Product S~κ×H^(n+p-k)

Isometric Immersions of Higher Codimension in to the Product S~κ×H^(n+p-k)

作     者:Xing Xiao LI Tian Qun ZHANG 

作者机构:Department of MathematicsHe'nan Normal University Luoyang No.43 Middle School 

出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期:2014年第30卷第12期

页      面:2146-2160页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Supported by NSFC(Grant Nos.11171091,11371018) partially supported by NSF of He'nan Province(Grant No.132300410141) 

主  题:Isometric immersions of higher codimension product structure spheres and hyperboloids 

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.

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