Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds
Number Theory
2010-11-19 v3
Abstract
We consider multiparameter dynamics on the space of unimolular lattices. Along with quantitative nondivergence we prove that multiplicative Diophantine exponents of hyperplanes are inherited by their nondegenerate submanifolds.
Keywords
Cite
@article{arxiv.0910.2017,
title = {Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds},
author = {Yuqing Zhang},
journal= {arXiv preprint arXiv:0910.2017},
year = {2010}
}