17 citations · 72 across the 27 of their papers we have counts for
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Jordan Szabo algebraic covariant derivative curvature tensors
Peter B. Gilkey, Raina Ivanova, Iva Stavrov
We show that if is a Jordan Szabo algebraic covariant derivative curvature tensor on a vector space of signature (p,q), where q is odd and p is less than q or if q is co…
Heat content asymptotics for spectral boundary conditions
Peter Gilkey, Klaus Kirsten, JeongHyeong Park
We study the short time heat content asymptotics for spectral boundary conditions. The heat content coefficients are shown to be non-local and some preliminary results concerning t…
Heat trace asymptotics defined by transfer boundary conditions
Peter Gilkey, Klaus Kirsten, Dmitri Vassilevich
We compute the first 5 terms in the short-time heat trace asymptotics expansion for an operator of Laplace type with transfer boundary conditions using the functorial properties of…
The spectral geometry of the Riemann curvature tensor
P. Gilkey, R. Ivanova, T. Zhang
Let E be a natural operator associated to the curvature tensor of a pseudo-Riemannian manifold. This survey article studies when the spectrum, or more generally the real Jordan nor…
Szabo Osserman IP Pseudo-Riemannian manifolds
Peter Gilkey, Raina Ivanova, Tan Zhang
We construct a family of pseudo-Riemannian manifolds so that the skew-symmetric curvature operator, the Jacobi operator, and the Szabo operator have constant eigenvalues on their d…
The Geometry of the Skew-Symmetric Curvature Operator in the Complex Setting
Peter Gilkey, Raina Ivanova
We construct almost complex algebraic curvature tensors for pseudo Hermitian inner products whose skew-symmetric curvature operator has constant Jordan normal form on the set of no…