4 papers
Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections
Mihail Cocos
We study a class of affine manifolds equipped with a flat affine connection and a global Riemannian metric that is diagonal in local affine coordinates. These structur…
A Riemannian Characterization of Compact Affine Manifolds with Parallel Volume
Mihail Cocos
We establish that any affine manifold endowed with a parallel volume form admits, in any conformal class of Riemannian metrics, a representative for which $\n…
Zero sets and factorization of polynomials of two variables
Micki Balaich, Mihail Cocos
The relationship between a polynomial's zeros and factors is well known. If a is a zero of f(x) then (x-a) is a factor of f(x). In this paper, we generalize this idea to polynomial…
Music By Numbers
Mihail Cocos, Shawn Fowers
In this paper we present a mathematical way of defining musical modes, we derive a formula for the total number of modes and define the musicality of a mode as the total number of…