Corey Dunn

Curvature Homogeneous Pseudo-Riemannian Manifolds which are not Locally Homogeneous

We construct a family of balanced signature pseudo-Riemannian manifolds, which arise as hypersurfaces in flat space, that are curvature homogeneous, that are modeled on a symmetric space, and that are not locally homogeneous.

A New Family of Curvature Homogeneous Pseudo-Riemannian Manifolds

We construct a new family of curvature homogeneous pseudo-Riemannian manifolds modeled on

THE LINEAR INDEPENDENCE OF SETS OF TWO AND THREE CANONICAL ALGEBRAIC CURVATURE TENSORS

\mathbb{R}^{3k+2}

Spectral geometry, homogeneous spaces and differential forms with finite Fourier series

for integers

The spectral geometry of the canonical Riemannian submersion of a compact Lie Group

k \geq 1

Curvature homogeneous signature (2,2) manifolds

. In contrast to previously known examples, the signature may be chosen to be

Singer invariants and various types of curvature homogeneity

(k+1+a, k+1+b)

Equivalence classes of Latin squares and nets in CP^2

where

Introduction to Analysis

a,b \in \mathbb{N} \bigcup \{0\}

On the structure group of a decomposable model space

and