15 citations · 70 across the 40 of their papers we have counts for
42 papers
Two theorems on the intersections of horospheres in asymptotically harmonic spaces
Sinhwi Kim, JeongHyeong Park
We use Busemann functions to construct volume preserving mappings in an asymptotically harmonic manifold. If the asymptotically harmonic manifold satisfies the visibility condition…
Volume density asymptotics of central harmonic spaces
Peter B. Gilkey, JeongHyeong Park
We show the asymptotics of the volume density function in the class of central harmonic manifolds can be specified arbitrarily and do not determine the geometry.
Maximal domains of radial harmonic functions
Peter Gilkey, JeongHyeong Park
We examine the maximal domain of radial harmonic functions on harmonic spaces in the context of positive, zero, and negative curvature.
Curvature identities for Einstein manifolds of dimension 5 and 6
Yunhee Euh, Jihun Kim, JeongHyeong Park
Patterson discussed the curvature identities on Riemannian manifolds in [14], and a curvature identity for any 6-dimensional Riemannian manifold was independently derived from the…
Einstein hypersurfaces in irreducible symmetric spaces
Yuri Nikolayevsky, JeongHyeong Park
We show that if is an Einstein hypersurface in an irreducible Riemannian symmetric space of rank greater than (the classification in the rank-one case was pr…
On 2-stein submanifolds in space forms
Yunhee Euh, Jihun Kim, Yuri Nikolayevsky +1
We prove that a 2-stein submanifold in a space form whose normal connection is flat or whose codimension is at most 2, has constant curvature.