14 citations · 54 across the 7 of their papers we have counts for
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Curvature structure of self-dual 4-manifolds
Novica Blazic, Peter Gilkey, Stana Nikcevic +1
We show the existence of a modified Cliff(1,1) structure compatible with an Osserman 0-model of signature (2,2). We then apply this algebraic result to certain classes of pseudo-Ri…
Algebraic theory of affine curvature tensors
N. Blazic, P. Gilkey, S. Nikcevic +1
We use curvature decompositions to construct generating sets for the space of algebraic curvature tensors and for the space of tensors with the same symmetries as those of a torsio…
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…
Conformally Osserman manifolds and conformally complex space forms
N. Blazic, P. Gilkey
We characterize manifolds which are locally conformally equivalent to either complex projective space or to its negative curvature dual in terms of their Weyl curvature tensor. As…
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…