4 citations · 7 across the 16 of their papers we have counts for
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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…
Fiberwise symmetrizations for variational problems on fibred manifolds
Chanyoung Sung
We establish a framework for fiberwise symmetrization to find a lower bound of a Dirichlet-type energy functional in a variational problem on a fibred Riemannian manifold, and use…