Isometric Immersions with Controlled Curvatures

Misha Gromov

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arXiv · 2212.06122

Isometric Immersions with Controlled Curvatures

Misha Gromov

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Abstract

We $\delta$-approximate strictly short (e.g. constant) maps between Riemannin manifolds $f_0:X^m\to Y^N$ for $N>>m^2/2$ by $C^\infty$-smooth isometric immersions $f_\delta:X^m\to Y^N$ with curvatures $curv(f_\delta) < \frac {\sqrt 3}{\delta}$, for $\delta\to 0$

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Misha Gromov. 2022-12-12. Isometric Immersions with Controlled Curvatures. https://arxiv.org/abs/2212.06122

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