7 citations · 13 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Heat content asymptotics for operators of Laplace type with spectral boundary conditions
P. Gilkey, K. Kirsten, JH. Park
Let be an operator of Dirac type and let be the associated operator of Laplace type. We impose spectral boundary conditions and study the leading heat content coefficie…
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…