Isometric Immersions into {\mathbb{S}^m \times \mathbb{R}} and {\mathbb{H}^m \times \mathbb{R}} with High Codimensions |
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Authors: | Qun Chen Qing Cui |
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Institution: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China
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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 ${\mathbb{H}^m \times \mathbb{R}}$ . |
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