Dr. Corey Dunn's list of publications:
- 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.
- 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.
- 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.
- 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.
- 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.
- A new family of curvature homogeneous pseudo-Riemannian manifolds, Rocky Mountain Journal of Mathematics, Volume 39 (2009), 1443--1465.
- 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
- 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.
- 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)
- 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
- Constructing an orthonormal basis that block diagonalizes an antisymmetric matrix (http://www.math.csusb.edu/faculty/dunn/skewsym.pdf)