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arXiv · 0910.2017

Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds

Yuqing Zhang
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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.

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Yuqing Zhang. 2010-11-18. Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds. https://arxiv.org/abs/0910.2017

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