A NOTE ON BADLY APPROXIMABLE LINEAR FORMS ON MANIFOLDS
A NOTE ON BADLY APPROXIMABLE LINEAR FORMS ON MANIFOLDS
This paper is motivated by Davenport's problem and the subsequent work regarding badly approximable points in submanifolds of a Euclidian space. We study the problem in the area of twisted Diophantine approximation and present two different approaches. The first approach shows that, under a certain restriction, any countable intersection of …