3 papers
math.DG2013
Transplanting geometrical structures
Y. Euh, P. Gilkey, J. H. Park +1
We say that a germ G of a geometric structure can be transplanted into a manifold M if there is a suitable geometric structure on M which agrees with G on a neighborhood of some po…
math.DG2012
Universal curvature identities III
P. Gilkey, J. H. Park, K. Sekigawa
We examine universal curvature identities for pseudo-Riemannian manifolds with boundary. We determine the Euler-Lagrange equations associated to the Chern-Gauss-Bonnet formula and…
math.AP2007
Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series
C. Dunn, P. Gilkey, J. H. Park
Let G be a compact Lie group acting transitively on Riemannian manifolds M and N. Let p be a G equivariant Riemannian submersion from M to N. We show that a smooth differential for…