5 papers
Reciprocal Cost on the Positive Rationals
Jonathan Washburn, Sebastian Pardo-Guerra, Milan Zlatanović
We study nonnegative solutions of the reciprocal cost law on the positive rationals and determine which of them admit regular extensions to the positive reals. Using the substituti…
Golden and Metallic Structures on Hessian Manifolds
Jonathan Washburn, Milan Zlatanović
We consider the reciprocal cost function and its -dimensional extension $J(x_1,\ldots,x_n) = \frac12(R+R^{-1})-1, R=\prod\limits_{i=1}^n x_i^{α_i},…
Multidimensional cost geometry
Jonathan Washburn, Milan Zlatanović, Philip Beltracchi
In this paper, we study the geometric structure induced by the canonical reciprocal cost function and its natural -dimensional extension. In logarithmic coordinates, the potenti…
Einstein connection of nonsymmetric pseudo-Riemannian manifold, II
Vladimir Rovenski, Milan Zlatanović, Miroslav Maksimović
Advances in modern physics since Einstein have made the nonsymmetric metric (0,2)-tensor , where is a pseudo-Riemannian metric associated with gravity, and is a…
The d'Alembert Inevitability Theorem
Jonathan Washburn, Milan Zlatanović, Elshad Allahyarov
We study functions satisfying the composition law with a symmetric polynomial combiner . We prove that symmetry together with a quadratic degree boun…