Immersions with small normal curvature

Otis Chodosh; Chao Li

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arXiv · 2602.15728

Immersions with small normal curvature

Otis Chodosh·Chao Li

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Abstract

We study Gromov's problem concerning minimal normal curvature immersions in the unit ball. In particular, we determine the minimal possible value of the normal curvature of an $S^n\times S^1$. We also prove a differentiable sphere theorem and an existence result for minimizers in this context.

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Otis Chodosh, Chao Li. 2026-02-17. Immersions with small normal curvature. https://arxiv.org/abs/2602.15728

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