7 citations · 9 across the 8 of their papers we have counts for
8 papers · 1 filter
Centrally Harmonic spaces
Peter Gilkey, JeongHyeong Park
We construct examples of centrally harmonic spaces by generalizing work of Copson and Ruse. We show that these examples are generically not centrally harmonic at other points. We u…
Affine Killing complete and geodesically complete homogeneous affine surfaces
P. B. Gilkey, J. H. Park, X. Valle-Regueiro
An affine manifold is said to be geodesically complete if all affine geodesics extend for all time. It is said to be affine Killing complete if the integral curves for any affine K…
A proof of the Chern-Gauss-Bonnet theorem for indefinite signature metrics using analytic continuation
P. Gilkey, J. H. Park
We derive the Chern-Gauss-Bonnet Theorem for manifolds with smooth non-degenerate boundary in the pseudo-Riemannian context from the corresponding result in the Riemannian setting…
A generalization of contact metric manifolds
J. H. Kim, J. H. Park, K. Sekigawa
We give a characterization of a contact metric manifold as a special almost contact metric manifold and discuss an almost contact metric manifold which is {a} natural generalizatio…
Finiteness of the total first curvature of a non-closed curve in
C. Y. Kim, H. Matsuda, J. H. Park +1
We consider a regular smooth curve in such that its coordinates' components are the fundamental solutions of the differential equation $x…
Correction to "minimal unit vector fields"
S. H. Chun, J. H. Park, K. Sekigawa
The paper "Minimal unit vector fields" by O. Gil-Medrano and E. Llinares-Fuster \cite{GilLli1}. is a seminal paper in the field that has been cited by many authors. It contains, ho…