9 citations · 28 across the 10 of their papers we have counts for
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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…
The spectral geometry of the Weyl conformal tensor
N. Blazic, P. Gilkey, S. Nikcevic +1
We study when the Jacobi operator associated to the Weyl conformal curvature tensor has constant eigenvalues on the bundle of unit spacelike or timelike tangent vectors. This leads…
Manifolds which are Ivanov-Petrova or k-Stanilov
P. Gilkey, S. Nikcevic, V. Videv
We present some examples of curvature homogeneous pseudo-Riemannian manifolds which are k-spacelike Jordan Stanilov; their higher order curvature operator has constant Jordan norma…
Nilpotent Spacelike Jorden Osserman pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Pseudo-Riemannian manifolds of balanced signature which are both spacelike and timelike Jordan Osserman nilpotent of order 2 and of order 3 have been constructed previously. In thi…