4 citations · 7 across the 16 of their papers we have counts for
20 papers
Geometric separation and constructive universal approximation with two hidden layers
Chanyoung Sung
We give a geometric construction of neural networks that separate disjoint compact subsets of , and use it to obtain a constructive universal approximation theorem. Speci…
On the Yamabe constants of product manifolds
Chanyoung Sung
By using the fiberwise spherical symmetrization we give a comparison theorem of Yamabe constants on warped products and prove the existence of radially-symmetric Yamabe minimizers…
On the eigenvalues of the Laplacian on fibred manifolds
Chanyoung Sung
We prove various comparison theorems of the -th eigenvalue of the Laplacian on fibred Riemannian manifolds by using fiberwise spherical and Euclidean (or hyperbolic) symme…
Kummer-type constructions of almost Ricci-flat 5-manifolds
Chanyoung Sung
A smooth closed manifold is called almost Ricci-flat if where and denote the…
CR Yamabe constant and inequivalent CR structures
Chanyoung Sung, Yuya Takeuchi
The CR Yamabe constant is an invariant of a compact strongly pseudoconvex CR manifold and plays an important role in CR geometry. We show some integral formulae of the CR Yamabe co…
The Weyl functional on 4-manifolds of positive Yamabe invariant
Chanyoung Sung
It is shown that on every closed oriented Riemannian 4-manifold with positive scalar curvature, where…