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. 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.

  5. 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.

  6. A new family of curvature homogeneous pseudo-Riemannian manifolds, Rocky Mountain Journal of Mathematics, Volume 39 (2009), 1443--1465.

  7. The linear independence of sets of two and three canonical algebraic curvature tensors, Electronic Journal of Linear Algebra, Volume 20 (2010), 436--448. Joint with A. Diaz.



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    Submitted and in Preparation

  8. 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.

  9. On the structure groups of direct sums of canonical algebraic curvature tensors, 2011. Joint with C. Franks, and J. Palmer. (submitted. On the arxiv at http://arxiv.org/abs/1108.2224)

  10. On the linear dependence of canonical algebraic curvature tensors on an inner product space of indefinite signature, 2011. Joint with E. Smothers.

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    Notes and proofs references to important theorems

  11. Constructing an orthonormal basis that block diagonalizes an antisymmetric matrix (http://www.math.csusb.edu/faculty/dunn/skewsym.pdf)