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Isometric Immersions into {mathbb{S}^m times mathbb{R}} and {mathbb{H}^m times mathbb{R}} with High Codimensions
Authors:Qun Chen  Qing Cui
Affiliation:1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China
Abstract:
In this paper, we obtain sufficient and necessary conditions for a simply connected Riemannian manifold (M n , g) to be isometrically immersed into ${mathbb{S}^m times mathbb{R}}$ and ${mathbb{H}^m times mathbb{R}}$ .
Keywords:
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