H. Cheng

activity

20182025

most citedCurvature-free linear length bounds on geodesics in closed Riemannian surfaces

1 citations · 1 across the 4 of their papers we have counts for

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Showing 2021Show all

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math.DG2021

Stable geodesic nets in convex hypersurfaces

Herng Yi Cheng

We construct convex bodies that can be "captured by nets." More precisely, for each dimension $n \geq 2$ , we construct a family of Riemannian $n$ -spheres, each with a stable geodes…

math.DG2021★ 1 cited

Curvature-free linear length bounds on geodesics in closed Riemannian surfaces

Herng Yi Cheng

This paper proves that in any closed Riemannian surface $M$ with diameter $d$ , the length of the $k^{th}$ -shortest geodesic between two given points $p$ and $q$ is at most $8k…