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math.DG2003
The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting
C. Dunn, P. Gilkey, R. Ivanova +1
We study the spectral geometry of the Riemann curvature tensor for Pseudo-Riemannian manifolds and provide some examples illustrating the phenomena which can arise in the higher si…
math.DG2003
Curvature homogeneous pseudo-Riemannian manifolds which are not locally homogeneous
Corey Dunn, Peter B Gilkey
We construct a family of balanced signature pseudo-Riemannian manifolds, which arise as hypersurfaces in flat space, that are curvature homogeneous, that are modeled on a symmetric…