TY - JFULL AU - Troy L. Story PY - 2011/4/ TI - Exterior Calculus: Economic Growth Dynamics T2 - International Journal of Mathematical and Computational Sciences SP - 454 EP - 458 VL - 5 SN - 1307-6892 UR - https://publications.waset.org/pdf/3779 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 51, 2011 N2 - Mathematical models of dynamics employing exterior calculus are mathematical representations of the same unifying principle; namely, the description of a dynamic system with a characteristic differential one-form on an odd-dimensional differentiable manifold leads, by analysis with exterior calculus, to a set of differential equations and a characteristic tangent vector (vortex vector) which define transformations of the system. Using this principle, a mathematical model for economic growth is constructed by proposing a characteristic differential one-form for economic growth dynamics (analogous to the action in Hamiltonian dynamics), then generating a pair of characteristic differential equations and solving these equations for the rate of economic growth as a function of labor and capital. By contracting the characteristic differential one-form with the vortex vector, the Lagrangian for economic growth dynamics is obtained. ER -