Publications (86)
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
Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series
C. Dunn, P. Gilkey, J. H. Park
Homogeneity of Lorentzian three-manifolds with recurrent curvature
E. Garcia-Rio, P. Gilkey, S. Nikcevic
Geometric Realizations of para-Hermitian curvature models
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic +1
Manifolds with commuting Jacobi operators
M. Brozos-Vazquez, P. Gilkey
Universal curvature identities and Euler Lagrange Formulas for Kaehler manifolds
P. Gilkey, J. H. Park, K. Sekigawa
Complete k-curvature homogeneous pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Jacobi--Tsankov manifolds which are not 2-step nilpotent
M. Brozos-Vazquez, P. Gilkey
Puffini-Videv Models and Manifolds
P. Gilkey, E. Puffini, V. Videv
Projectively Osserman manifolds
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic +1
Geometric realizations of Kaehler and of para-Kaehler curvature models
M. Brozos-Vazquez, P. Gilkey, E. Merino
Complex Osserman Algebraic Curvature Tensors and Clifford Families
M. Brozos-Vazquez, P. Gilkey
Pseudo-Riemannian Jacobi-Videv Manifolds
P. Gilkey, S. Nikcevic
Curvature homogeneous signature (2,2) manifolds
C. Dunn, P. Gilkey, S. Nikcevic
Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold
M. Brozos-Vazquez, E. Garcia-Rio, P. Gilkey
The spectral geometry of the canonical Riemannian submersion of a compact Lie Group
C. Dunn, P. Gilkey, J. H. Park
Mathematics, Recursion, and Universals in Human Languages
P. Gilkey, S. Lopez Ornat, A. Karousou
The global geometry of Riemannian manifolds with commuting curvature operators
M. Brozos-Vazquez, P. Gilkey
Completeness, Ricci blowup, the Osserman and the conformal Osserman condition for Walker signature (2,2) manifolds
M. Brozos-Vazquez, P. Gilkey, E. Garcia-Rio +1
Nilpotent Spacelike Jorden Osserman pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Nilpotent Szabo, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds
B. Fiedler, P. Gilkey
Examples of signature (2,2) manifolds with commuting curvature operators
M. Brozos-Vazquez, E. Garcia-Rio, P. Gilkey +1
Transplanting geometrical structures
Y. Euh, P. Gilkey, J. H. Park +1
Heat content asymptotics for operators of Laplace type with spectral boundary conditions
P. Gilkey, K. Kirsten, JH. Park
Riemannian geometric realizations for Ricci tensors of generalized algebraic curvature operators
P. Gilkey, S. Nikcevic, D. Westerman
Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators
E. Calvino-Louzao, E. Garcia-Rio, P. Gilkey +1
The eta invariant and equivariant bordism of flat manifolds with cyclic holonomy group of odd prime order
P. Gilkey, R. J. Miatello, R. A. Podesta
Heat content asymptotics with singular data
M. van den Berg, P. Gilkey
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data
M. van den Berg, P. Gilkey, K. Kirsten +1
Geometric Realizations of Hermitian curvature models
M. Brozos-Vazquez, P. Gilkey, H. Kang +1
Heat content
M. van den Berg, P. Gilkey, R. Seeley
The spectral geometry of the Riemann curvature tensor
P. Gilkey, R. Ivanova, T. Zhang
(para)-Kähler Weyl structures
P. Gilkey, S. Nikcevic
Neumann heat content asymptotics with singular initial temperature and singular specific heat
M. van den Berg, P. Gilkey, H. Kang
Heat trace asymptotics with singular weight functions
M. van den Berg, P. Gilkey, K. Kirsten +1
Four-dimensional Osserman metrics of neutral signature
E. Garcia-Rio, P. Gilkey, M. E. Vazquez-Abal +1
Real analytic complete non-compact surfaces in Euclidean space with finite total curvature arising as solutions to ODEs
P. Gilkey, C. Y. Kim, J. H. Park
Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections
C. G. Beneventano, P. Gilkey, K. Kirsten +1
Homogeneous 4-dimensional Kaehler--Weyl Structures
M. Brozos-Vazquez, E. Garcia-Rio, P. Gilkey +1
Growth of heat trace coefficients for locally symmetric spaces
P. Gilkey, R. J. Miatello
The classification of simple Jacobi--Ricci commuting algebraic curvature tensors
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
On Distinguished local coordinates for locally homogeneous affine surfaces
M. Brozos-Vázquez, E. GarcÃa-RÃo, P. Gilkey
Homothety Curvature Homogeneity and Homothety Homogeneity
E. Garcia-Rio, P. Gilkey, S. Nikcevic
The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons
M. Brozos-Vázquez, E. GarcÃa-RÃo, P. Gilkey +1
Homogeneous affine surfaces: affine Killing vector fields and Gradient Ricci solitons
M. Brozos-Vázquez, E. GarcÃa-RÃo, P. Gilkey
Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler
E. Calviño-Louzao, E. GarcÃa-RÃo, P. Gilkey +2
Kähler-Weyl manifolds of dimension 4
P. Gilkey, S. Nikcevic
Heat content with singular initial temperature and singular specific heat
M. van den Berg, P. Gilkey
Anti-invariant Riemannian Submersions
P. Gilkey, M. Itoh, J. H. Park
The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting
C. Dunn, P. Gilkey, R. Ivanova +1
Eta invariants with spectral boundary conditions
P. Gilkey, K. Kirsten, J. H. Park
Duality symmetry of the p-form effective action and super trace of the twisted de Rham complex
P. Gilkey, K. Kirsten, D. Vassilevich +1
The geometry of modified Riemannian extensions
E. Calvino-Louzao, E. Garcia-Rio, P. Gilkey +1
Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Curvature properties of Weyl geometries
P. Gilkey, S. Nikcevic, U. Simon
Supertrace divergence terms for the Witten Laplacian
P. Gilkey, K. Kirsten, D. Vassilevich
Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary conditions
M. van den Berg, P. Gilkey, K. Kirsten +1
Universal curvature identities
P. Gilkey, J. H. Park, K. Sekigawa
The spectral geometry of the Weyl conformal tensor
N. Blazic, P. Gilkey, S. Nikcevic +1
Homothety Curvature Homogeneity
E. GarcÃa-RÃo, P. Gilkey, S. NikÄeviÄ
The structure of algebraic covariant derivative curvature tensors
J. Diaz-Ramos, B. Fiedler, E. Garcia-Rio +1
Universal curvature identities III
P. Gilkey, J. H. Park, K. Sekigawa
Solutions to the affine quasi-Einstein equation for homogeneous surfaces
M. Brozos-Vázquez, E. GarcÃa-RÃo, P. Gilkey +1
Applications of PDEs to the study of affine surface geometry
P. Gilkey, X. Valle-Regueiro
Complete curvature homogeneous pseudo-Riemannian manifolds
P. Gilkey, S. Nikcevic
Geometric theory of equiaffine curvature tensors
P. Gilkey, S. Nikcevic, U. Simon
Compact Osserman manifolds with neutral metric
M. Brozos-Vazquez, E. Garcia-Rio, P. Gilkey +1
Geometric realizations of curvature
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic
Curves in R^n with finite total first curvature arising from the solutions of an ODE
P. Gilkey, C. Y. Kim, H. Matsuda +2
Algebraic theory of affine curvature tensors
N. Blazic, P. Gilkey, S. Nikcevic +1
Heat flow out of a compact manifold
M. van den Berg, P. Gilkey
The geometry of locally symmetric affine surfaces
D. D'Ascanio, P. Gilkey, P. Pisani
Constructing Bach Flat Manifolds of signature $(2,2)$ using the modified Riemannian extension
E. Calviño-Louzao, E. GarcÃa-RÃo, P. Gilkey +2
Homogeneous affine surfaces: Moduli spaces
Miguel Brozos-Vázquez, Eduardo GarcÃa-RÃo, P. Gilkey
Conformally Osserman manifolds and conformally complex space forms
N. Blazic, P. Gilkey
Pseudo-Riemannian manifolds with Commuting Jacobi Operators
M. Brozos-Vazquez, P. Gilkey
Geometric realizations of curvature models by manifolds with constant scalar curvature
M. Brozos-Vazquez, P. Gilkey, H. Kang +2
Expected volume of intersection of Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary
M. van den Berg, P. Gilkey
Manifolds which are Ivanov-Petrova or k-Stanilov
P. Gilkey, S. Nikcevic, V. Videv
A proof of the Chern-Gauss-Bonnet theorem for indefinite signature metrics using analytic continuation
P. Gilkey, J. H. Park
Stanilov-Tsankov-Videv Theory
M. Brozos-Vazquez, B. Fiedler, E. Garcia-Rio +6
The eta invariant and the real connective K-theory of the classifying space for quaternion groups
E. Barrera-Yanez, P. Gilkey