Atkins, RichardAssociate Professor of MathematicsDepartment: FNAS; Mathematical Sciences Email: richard.atkins@twu.ca Area of Expertise: Differential geometry; systems of partial differential equations; equivalence methods; Killing fields; cohomology Research: Differential geometry;
Geometric methods in systems of partial differential equations;
Geometric cohomology theories Education: B.Math, M.Math, Ph.D. (University of Waterloo);
Fields Institute for Research in the Mathematical Sciences (PostDoc);
Ecole Polytechnique, Paris/Palaiseau, France (PostDoc) Selected Publications
- Atkins, R. “The Lie Algebra of Local Killing Fields” The Open Mathematics Journal, Vol. 4 (2011), pp. 5-11
- Atkins, R. “Existence of Parallel Sections of a Vector Bundle” Journal of Geometry and Physics, 61 (2011), pp. 309-311
- Atkins, R. “Determination of the Metric from the Connection” Global Journal of Pure and Applied Mathematics, Vol. 6 No. 1 (2010) pp 84-100
- Atkins, R. “Conditions for the algebraic determination of the metric from the curvature” New York Journal of Mathematics, Vol. 15 (2009) 283-289
- Atkins, R. “The Newtonian Potential in Gravitational Cohomology” Physics Essays, Vol. 22 (2009) 221 (5 pages)
- Atkins, R. “When is a Connection a Metric Connection?” New Zealand Journal of Mathematics, Vol. 38 (2008) pp 225-238
- Atkins, R. “Parallel Metrics and Reducibility of the Holonomy Group” Bulletin of the Australian Mathematical Society, Vol. 74 (2006) pp 45-68
- Atkins, R. “The Geometry of a Pair of Second-order Ordinary Differential Equations and Euclidean Spaces” Canadian Mathematical Bulletin, Vol. 49 (2) (2006) pp 170-184
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