Publications (29)
Geometric realizations of affine Kaehler curvature models
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic
Geometric realizations of generalized algebraic curvature operators
P. Gilkey, S. Nikcevic, D. Westerman
The structure of the space of affine Kaehler curvature tensors as a complex module
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic
The classification of simple Jacobi--Ricci commuting algebraic curvature tensors
P. Gilkey, S. Nikcevic
Homogeneity of Lorentzian three-manifolds with recurrent curvature
E. Garcia-Rio, P. Gilkey, S. Nikcevic
Affine curvature homogeneous 3-dimensional Lorentz Manifolds
P. Gilkey, S. Nikcevic
Isometry groups of k-curvature homogeneous pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Geometric Realizations of para-Hermitian curvature models
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic +1
Homothety Curvature Homogeneity and Homothety Homogeneity
E. Garcia-Rio, P. Gilkey, S. Nikcevic
Complete k-curvature homogeneous pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Kähler-Weyl manifolds of dimension 4
P. Gilkey, S. Nikcevic
Projectively Osserman manifolds
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic +1
The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting
C. Dunn, P. Gilkey, R. Ivanova +1
Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Pseudo-Riemannian Jacobi-Videv Manifolds
P. Gilkey, S. Nikcevic
Curvature properties of Weyl geometries
P. Gilkey, S. Nikcevic, U. Simon
Curvature homogeneous signature (2,2) manifolds
C. Dunn, P. Gilkey, S. Nikcevic
The spectral geometry of the Weyl conformal tensor
N. Blazic, P. Gilkey, S. Nikcevic +1
Complete curvature homogeneous pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Geometric theory of equiaffine curvature tensors
P. Gilkey, S. Nikcevic, U. Simon
Geometric realizations of curvature
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic
Nilpotent Spacelike Jorden Osserman pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Algebraic theory of affine curvature tensors
N. Blazic, P. Gilkey, S. Nikcevic +1
Riemannian geometric realizations for Ricci tensors of generalized algebraic curvature operators
P. Gilkey, S. Nikcevic, D. Westerman
Geometric Realizations of Hermitian curvature models
M. Brozos-Vazquez, P. Gilkey, H. Kang +1
(para)-Kähler Weyl structures
P. Gilkey, S. Nikcevic
Geometric realizations of curvature models by manifolds with constant scalar curvature
M. Brozos-Vazquez, P. Gilkey, H. Kang +2
Manifolds which are Ivanov-Petrova or k-Stanilov
P. Gilkey, S. Nikcevic, V. Videv
Stanilov-Tsankov-Videv Theory
M. Brozos-Vazquez, B. Fiedler, E. Garcia-Rio +6