Chao Li

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math.DG2026

Sharp Neumann eigenvalue estimates and $C^{2}$ elliptic regularity in non-obtuse polyhedral domains

Nick Edelen, Chao Li

For integers $n \geq 1$ , consider assertions: $(P_{n})$ : Let $Ω \subset S^{n}$ be a spherical domain enclosed by totally geodesic $S^{n - 1}$ 's with non-obtuse dihedral angles. The…

math.DG2026

Immersions with small normal curvature

Otis Chodosh, Chao Li

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…

Sharp Neumann eigenvalue estimates and C2 elliptic regularity in non-obtuse polyhedral domains

Immersions with small normal curvature

Sharp Neumann eigenvalue estimates and $C^{2}$ elliptic regularity in non-obtuse polyhedral domains