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- W4240634792 abstract "This article investigates the structure of the space of isometric immersions from a simply connected $n$-dimensional Riemannian manifold with positive sectional curvatures into $(n + 2)$-dimensional Euclidean space ${E^{n + 2}}$. It is proven that if $n geqslant 4$ and ${M^n}$ is such a manifold which admits a ${C^infty }$ isometric immersion as a hypersurface in ${E^{n + 1}}$, then any ${C^infty }$ isometric immersion from ${M^n}$ into ${E^{n + 2}}$ is ${C^{2n - 4}}$ homotopic through isometric immersions to an immersion whose image lies in some hyperplane." @default.
- W4240634792 created "2022-05-12" @default.
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- W4240634792 date "1985-12-01" @default.
- W4240634792 modified "2023-09-24" @default.
- W4240634792 title "Isometric Homotopy in Codimension Two" @default.
- W4240634792 doi "https://doi.org/10.2307/2000236" @default.
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