1 citations · 1 across the 4 of their papers we have counts for
6 papers
Geometric Constructions of Mod Cohomology Operations
Herng Yi Cheng
The Brown Representability Theorem implies that cohomology operations can be represented by continuous maps between Eilenberg-Maclane spaces. These Eilenberg-Maclane spaces have ex…
Riemannian 3-spheres that are hard to sweep out by short curves
Omar Alshawa, Herng Yi Cheng
We construct a family of Riemannian 3-spheres that cannot be "swept out" by short closed curves. More precisely, for each we construct a Riemannian 3-sphere with diamet…
Stable closed geodesics and stable figure-eights in convex hypersurfaces
Herng Yi Cheng
For each odd , we construct a closed convex hypersurface of that contains a non-degenerate closed geodesic with Morse index zero. A classical theorem o…
Stable geodesic nets in convex hypersurfaces
Herng Yi Cheng
We construct convex bodies that can be "captured by nets." More precisely, for each dimension , we construct a family of Riemannian -spheres, each with a stable geodes…
Curvature-free linear length bounds on geodesics in closed Riemannian surfaces
Herng Yi Cheng
This paper proves that in any closed Riemannian surface with diameter , the length of the -shortest geodesic between two given points and is at most $8k…
Solid Geometry Processing on Deconstructed Domains
Silvia Sellán, Herng Yi Cheng, Yuming Ma +2
Many tasks in geometry processing are modeled as variational problems solved numerically using the finite element method. For solid shapes, this requires a volumetric discretizatio…