Articles on differential geometry and differential equations

J.N. Clelland, T.J. Klotz, and P.J. Vassiliou, “Dynamic Feedback Linearization of Control Systems with Symmetry,” SIGMA 20 (2024), 058, 49 pages.
https://www.emis.de/journals/SIGMA/2024/058/.

J.N. Clelland and Y. Hu, “On absolute equivalence and linearization I,” Geom. Dedicata 217 (2023), Article 78.
https://doi.org/10.1007/s10711-023-00811-0

R.L. Bryant and J.N. Clelland, “Flat metrics with a prescribed derived coframing,” SIGMA 16 (2020), 004, 23 pages.
https://www.emis.de/journals/SIGMA/2020/004/.  

J.N. Clelland and T. Klotz, “Beltrami fields with non-constant proportionality factor via moving frames,” Arch Rational Mech Anal (2019),
https://doi.org/10.1007/s00205-019-01481-7

J.N. Clelland. Y. Hu, and M.W. Stackpole, “Dynamic Equivalence of Control Systems and Infinite Permutation Matrices,” SIGMA 15 (2019), 063, 16 pages.
https://www.emis.de/journals/SIGMA/2019/063/.

J.N. Clelland, T.A. Ivey, N. Tehseen, and P.J. Vassiliou, “Isometric Embedding and Darboux Integrability,” Geometriae Dedicata 203 (2019), 353-388.
https://doi.org/10.1007/s10711-019-00441-5.

J.N. Clelland and T.A. Ivey, “Geometric characterization and classification of B ̈acklund transformations of sine-Gordon type,” Journal of Integrable Systems 3 (2018), 1-44.
https://doi.org/10.1093/integr/xyy018.

J.N. Clelland, “A counterexample to Matsumoto’s conjecture regarding absolute length vs. relative length in Finsler manifolds,” Reports on Mathematical Physics 82 (2018), 21-26.

G.-Q. Chen, J. Clelland, M. Slemrod, D. Wang, and D. Yang, “Isometric embedding via strongly symmetric positive systems,” Asian J. Math. 22 (2018), 1-40.

N. Bushek and J.N. Clelland, "Geometry of centroaffine surfaces in R^5," SIGMA 11 (2015), 001, 24 pages.
http://www.emis.de/journals/SIGMA/2015/001/.

J.N. Clelland and J.M. Miller, "A characterization of hyperbolic affine flat, affine minimal surfaces in A^3," Differential Geometry and Its Applications 36 (2014) 134-148.

J. Clelland, E. Estrada, M. May, J. Miller, S. Peneyra, and M. Schmidt, “A Tale of Two Arc Lengths: Metric notions for curves in surfaces in equiaffine space,” Proceedings of the American Mathematical Society 142 (2014), 2543-2558.

J.N. Clelland and P.J. Vassiliou, “A Solvable String on a Lorentzian Surface,” Differential Geometry And Its Applications 33 Suppl. (2014) 177-198.

B. Carlsen and J.N. Clelland, “The geometry of lightlike surfaces in Minkowski space,” Journal of Geometry and Physics 74 (2013) 43-55.

J.N. Clelland, C.G. Moseley, and G.R. Wilkens, “Geometry of optimal control for control-affine systems,” SIGMA 9 (2013), 034, 31 pages.
http://www.emis.de/journals/SIGMA/2013/034/.

J.N. Clelland, "Totally quasi-umbilic timelike surfaces in R^{1,2}," Asian J. Math. 16 (2012) 189-208.

J.N. Clelland, C.G. Moseley, and G.R. Wilkens, “Geometry of control-affine systems,” SIGMA 5 (2009), 095, 28 pages.
http://www.emis.de/journals/SIGMA/2009/095/.

J.N. Clelland and T.A. Ivey, “Backlund transformations and Darboux integrability for nonlinear wave equations,” Asian J. Math. 13 (2009) 15-64.

J.N. Clelland, M. Kossowski, and G.R. Wilkens, “Second-order type-changing evolution equations with first-order intermediate equations,” Journal of Differential Equations 244 (2008) 242-273.

J.N. Clelland, M. Kossowski, and G.R. Wilkens, “Constructing topologically distinct energy-critical curves in the path space of the Euclidean line,” Journal of Differential Equations 241 (2007) 305-331.

J.N. Clelland, C.G. Moseley, and G.R. Wilkens, “Geometry of sub-Finsler Engel mani- folds,” Asian Journal of Mathematics 11 (2007) 699-726.

J.N. Clelland and C.G. Moseley, “Sub-Finsler geometry in dimension three,” Differential Geometry And Its Applications 24 (2006) 628-651.

J.N. Clelland and T.A. Ivey, “Parametric Backlund transformations I: Phenomenology,” Transactions of the American Mathematical Society 357 (2005) 1061-1093.

J.N. Clelland, “Homogeneous Backlund transformations of hyperbolic Monge-Ampere systems,” Asian J. Math. 6 (2002) 433-480.

J.N. Clelland, “A Backlund transformation for timelike surfaces of constant mean curvature in R^{1,2}," Backlund and Darboux Transformations. The Geometry of Solitons, 141-150, CRM Proc. Lecture Notes 29, American Mathematical Society, Providence, RI, 2001.

J.N. Clelland, “On the intermediate integral for Monge-Ampere equations,” Proceedings of the American Mathematical Society 128 (2000) 527-531.

J.N. Clelland, “Geometry of conservation laws for a class of parabolic PDEs II: Normal forms for equations with conservation laws,” Selecta Mathematica (New Series) 3 (1997) 497-515.

J.N. Clelland, “Geometry of conservation laws for a class of parabolic partial differential equations,” Selecta Mathematica (New Series) 3 (1997) 1-77.