1 citations · 1 across the 4 of their papers we have counts for
6 papers
Eigenforms of the Laplacian for Riemannian V-submersions
Peter B. Gilkey, Hong-Jong Kim, JeongHyeong Park
Let p: Z -> Y be a Riemannian V-submersion of compact V-manifolds. We study when the pull-back of an eigenform of the Laplacian on Y is an eigenform of the Laplacian on Z, and when…
The Spectral Geometry of Einstein Manifolds with Boundary
JeongHyeong Park
Let (M,g) be a compact Einstein manifold with smooth boundary. We consider the spectrum of the p form valued Laplacian with respect to a suitable boundary condition. We show that c…
Spectral Geometry and the Kaehler Condition for Hermitian Manifolds with Boundary
JeongHyeong Park
Let (M,g,J) be a compact Hermitian manifold with a smooth boundary. Let and be the realizations of the real and complex Laplacians on p forms with either Dirichlet or N…
Heat content asymptotics for spectral boundary conditions
Peter Gilkey, Klaus Kirsten, JeongHyeong Park
We study the short time heat content asymptotics for spectral boundary conditions. The heat content coefficients are shown to be non-local and some preliminary results concerning t…
Geometric phases in the simple harmonic and perturbative Mathieu's oscillator systems
JeongHyeong Park, Dae-Yup Song
Geometric phases of simple harmonic oscillator system are studied. Complete sets of "eigenfunctions" are constructed, which depend on the way of choosing classical solutions. For a…
Berry phase in the simple harmonic oscillator
JeongHyeong Park, Dae-Yup Song
Berry phase of simple harmonic oscillator is considered in a general representation. It is shown that, Berry phase which depends on the choice of representation can be defined unde…