14 citations · 52 across the 21 of their papers we have counts for
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math.DG2009
Geometric realizations of curvature
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic
We study geometric realization questions of curvature in the affine, Riemannian, almost Hermitian, almost para Hermitian, almost hyper Hermitian, almost hyper para Hermitian, Hermi…
math.DG2009★ 1 cited
Geometric theory of equiaffine curvature tensors
P. Gilkey, S. Nikcevic, U. Simon
We present an algebraic investigation of generalized and equiaffine curvature tensors in a given pseudo-Euclidean vector space and study different orthogonal, irreducible decomposi…
math.DG2009
Geometric Realizations of para-Hermitian curvature models
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic +1
We show that a para-Hermitian algebraic curvature model satisfies the para-Gray identity if and only if it is geometrically realizable by a para-Hermitian manifold. This requires e…