14 citations · 27 across the 4 of their papers we have counts for
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Conformally Osserman manifolds and self-duality in Riemannian geometry
Novica Blazic, Peter Gilkey
We study the spectral geometry of the conformal Jacobi operator on a 4-dimensional Riemannian manifold (M,g). We show that (M,g) is conformally Osserman if and only if (M,g) is sel…
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…
Classification of four-dimensional Lie algebras admitting a para-hypercomplex structure
N. Blazic, S. Vukmirovic
The main goal is to classify 4-dimensional real Lie algebras $\g$ which admit a para-hypercomplex structure. This is a step toward the classification of Lie groups admitting the co…
Examples of Self-dual, Einstein metrics of -signature
Novica Blazic, Srdjan Vukmirovic
In this paper we construct a family of examples of self-dual Einstain metrics of neutral signature, which are not Ricci flat, nor locally homogenous. Curvature of these manifolds i…