论文标题

等距浸入具有控制曲率的

Isometric Immersions with Controlled Curvatures

论文作者

Gromov, Misha

论文摘要

我们$δ$ - riemannin歧管$ f_0:x^m \ to y^n $ for $ n >> m^2/2 $ by $ c^\ infty $ -smmooth ismote ismooth ismooth ismooth Inmions $f_δ 3}δ$,以$δ\至0 $

We $δ$-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 $f_δ:X^m\to Y^N$ with curvatures $curv(f_δ) < \frac {\sqrt 3}δ$, for $δ\to 0$

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