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Isometric immersions of space forms into Sp×R

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In this article we classify isometric immersions f:Mn(c)→Sn+p×R of Riemannian manifolds of dimension n and constant sectional curvature c≤1 into the product space Sn+p×R, p≤n−3, where Sm denotes the m‐dimensional… Click to show full abstract

In this article we classify isometric immersions f:Mn(c)→Sn+p×R of Riemannian manifolds of dimension n and constant sectional curvature c≤1 into the product space Sn+p×R, p≤n−3, where Sm denotes the m‐dimensional unit sphere.

Keywords: isometric immersions; immersions space; space; space forms

Journal Title: Mathematische Nachrichten
Year Published: 2020

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