8 citations · 13 across the 8 of their papers we have counts for
8 papers
Sharp sectional curvature bounds and a new proof of The Spectral Theorem
Maxine Calle, Corey Dunn
We algebraically compute all possible sectional curvature values for canonical algebraic curvature tensors, and use this result to give a method for constructing general sectional…
Singer invariants and strongly curvature homogeneous manifolds of type (1,3)
Corey Dunn, Cullen McDonald
We extend the definition of curvature homogeneity of type (1,3) to include the possibility that there is a homothety between any two points of a manifold preserving the first r cov…
On the structure group of a decomposable model space
Corey Dunn, Cole Franks, Joseph Palmer
We study the structure group of a canonical algebraic curvature tensor built from a symmetric bilinear form, and show that in most cases it coincides with the isometry group of the…
Equivalence classes of Latin squares and nets in CP^2
Corey Dunn, Matthew S. Miller, Max Wakefield +1
The fundamental combinatorial structure of a net in CP^2 is its associated set of mutually orthogonal latin squares. We define equivalence classes of sets of orthogonal Latin squar…
A new family of curvature homogeneous pseudo-Riemannian manifolds
Corey Dunn
We construct a new family of curvature homogeneous pseudo-Riemannian manifolds modeled on for integers . In contrast to previously known examples, the…
Curvature homogeneous signature (2,2) manifolds
C. Dunn, P. Gilkey, S. Nikcevic
We exhibit a family of generalized plane wave manifolds of signature (2,2). The geodesics in these manifolds extend for infinite time (i.e. they are complete), they are spacelike a…