15 citations · 36 across the 16 of their papers we have counts for
3 papers · 1 filter
Universal curvature identities II
Peter B. Gilkey, JeongHyeong Park, Kouei Sekigawa
We show that any universal curvature identity which holds in the Riemannian setting extends naturally to the pseudo-Riemannian setting. Thus the Euh-Park-Sekigawa identity also hol…
Hermitian structures on the product of Sasakian manifolds
Jung Chan Lee, JeongHyeong Park, Kouei Sekigawa
We investigate the curvature properties of a two-parameter family of Hermitian structures on the product of two Sasakian manifolds, as well as intermediate relations. We give a nec…
Universal curvature identities
P. Gilkey, J. H. Park, K. Sekigawa
We study scalar and symmetric 2-form valued universal curvature identities. We use this to establish the Gauss-Bonnet theorem using heat equation methods, to give a new proof of a…