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Misha Gromov,Curvature, Kolmogorov diameter, Hilbert rational designs, overtwisted immersions, arXiv:2210 · 2022 · arXiv 2210.13256

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Normal curvature bounds for immersions into Riemannian domains

math.DG · 2026-06-02 · unverdicted · novelty 6.0

A lower bound on average normal curvature for closed submanifolds in Riemannian domains is given via an n-trace convexity invariant, extending Petrunin's result to Cartan-Hadamard geodesic balls and similar settings.

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  • Normal curvature bounds for immersions into Riemannian domains math.DG · 2026-06-02 · unverdicted · none · ref 7

    A lower bound on average normal curvature for closed submanifolds in Riemannian domains is given via an n-trace convexity invariant, extending Petrunin's result to Cartan-Hadamard geodesic balls and similar settings.