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Reduction of the codimension of isometric immersions in space forms - MaRDI portal

Reduction of the codimension of isometric immersions in space forms (Q1819751)

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scientific article; zbMATH DE number 3994469
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Reduction of the codimension of isometric immersions in space forms
scientific article; zbMATH DE number 3994469

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    Reduction of the codimension of isometric immersions in space forms (English)
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    1986
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    This paper generalizes the results of \textit{L. Rodrigues} and \textit{R. Tribuzy} [Math. Z. 185, 321-331 (1984; Zbl 0524.53038)]. It gives global reduction of codimension for compact (or complete) submanifolds with some osculating space of constant dimension in a simply-connected space form.
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    reduction of codimension
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    osculating space
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