Isometric immersions of higher codimension into the product \mathbf S^k × H^n+p-k of sphere and hyperboloid

2013/11/15 by Xingxiao Li, Li, Xingxiao, Tianqun Zhang +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1311.3849

15 pages

arxiv created 2013/11/15 · arxiv updated 2013/11/18

Abstract

In this paper, we obtain a sufficient and necessary condition for a simply connected Riemannian manifold (Mⁿ, 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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