Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds

2009/10/11 by Zhang, Yuqing
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0910.2017

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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