Isometric Immersions with Controlled Curvatures

2022/12/12 by Misha Gromov, Gromov, Misha
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2212.06122

openalex publication_date 2022/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We δ-approximate strictly short (e.g. constant) maps between Riemannin manifolds f₀:X^m→ Y^N for N>>m²/2 by C^∞-smooth isometric immersions f_δ:X^m→ Y^N with curvatures curv(f_δ) < \frac √ 3δ, for δ→ 0

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