7 citations · 8 across the 6 of their papers we have counts for
6 papers
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…
(Semi-)Riemannian geometry of (para-)octonionic projective planes
Rowena Held, Iva Stavrov, Brian VanKoten
We use reduced homogeneous coordinates to study Riemannian geometry of the octonionic (or Cayley) projective plane. Our method extends to the para-octonionic (or split octonionic)…
Locally Isotropic Pseudo-Riemannian Manifolds
Iva Stavrov
Locally isotropic pseudo-Riemannian manifolds are known to be locally symmetric; this result is due to Wolf. In the Riemannian setting one proof, due to Szabó, uses spectral proper…
Vector bundles over Grassmannians and the skew-symmetric curvature operator
Iva Stavrov
A pseudo-Riemannian manifold is said to be spacelike Jordan IP if the Jordan normal form of the skew-symmetric curvature operator depends upon the point of the manifold, but not up…
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…
Curvature tensors whose Jacobi or Szabo operator is nilpotent on null vectors
Peter Gilkey, Iva Stavrov
We show that any Osserman Lorentzian algebraic curvature tensor has constant sectional curvature and give an elementary proof that any local 2 point homogeneous Lorentzian mani…