A note on badly approximable linear forms on manifolds

P. Bengoechea; N. Moshchevitin; Natalia Stepanova

DOI:10.1112/S0025579317000080

Corpus ID: 54219513

A note on badly approximable linear forms on manifolds

@article{Bengoechea2017ANO,
  title={A note on badly approximable linear forms on manifolds},
  author={P. Bengoechea and N. Moshchevitin and Natalia Stepanova},
  journal={Mathematika},
  year={2017},
  volume={63},
  pages={587-601}
}

P. Bengoechea, N. Moshchevitin, Natalia Stepanova

Published 2017

Mathematics

Mathematika

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 the sets of weighted badly approximable points on any non-degenerate C^1 submanifold of R^n has full dimension. In the second approach we introduce the… CONTINUE READING

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