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math.DG2003
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…
math.DG2003
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…
math.DG2003
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…