Immersions with small normal curvature
Differential Geometry
2026-02-18 v1
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 . We also prove a differentiable sphere theorem and an existence result for minimizers in this context.
Cite
@article{arxiv.2602.15728,
title = {Immersions with small normal curvature},
author = {Otis Chodosh and Chao Li},
journal= {arXiv preprint arXiv:2602.15728},
year = {2026}
}