Dr. Corey Dunn's list of publications:

  1. Curvature homogeneous pseudo-Riemannian manifolds which are not locally homogeneous, published in Complex, Contact and Symmetric Manifolds, Birkhauser (2005), 145--152, ISBN:0-8176-3850-4. (on the arxiv at math.DG/0306072). Joint with P. Gilkey.

  2. Curvature homogeneous signature (2,2) manifolds, published in Differential Geometry and its Applications, Proceedings of the 9th International Conference (2004), 29--44, ISBN: 80-86732-63-0. (on the arxiv at math.DG/0408316). Joint with P. Gilkey, and S. Nikcevic.

  3. The spectral geometry of the Riemann curvature operator in the higher signature setting, published in Nonlinear Funct. Anal. and Appl., Vol. 10, No. 5 (2005), 701--716. (on the arxiv at math.DG/0312249). Joint with P. Gilkey, R. Ivanova, and S. Nikcevic.

  4. A new family of curvature homogeneous pseudo-Riemannian manifolds, 2006. (Accepted for publication in the Rocky Mountain Journal of Mathematics. On the arxiv at math.DG/0611448).

  5. The spectral geometry of the canonical Riemannian submersion of a compact Lie group, published in J. Geometry and Physics 57 (2007), 2065-2076. On the web at: MPI Preprint archive. Joint with P. Gilkey and JH. Park.

  6. Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series, J. Phys. A: Math. Theor. 41 (2008) 135204. (in .pdf format here. ) Joint with P. Gilkey and JH. Park.

    _________________________________________________________

    Submitted and in Preparation

  7. Equivalence classes of latin squares and nets in CP^2, 2007. (on the arxiv at math.CO/0703142). Joint with M. Miller, M. Wakefield, and S. Zwicknagl.