Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds (Q2879869)
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scientific article; zbMATH DE number 6022595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds |
scientific article; zbMATH DE number 6022595 |
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Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds (English)
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5 April 2012
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Diophantine exponents
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unimodular lattices
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submanifolds
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In this paper the author studies multiplicative Diophantine exponents of manifolds. It is shown that the multiplicative Diophantine exponents of a hyperplane and a nondegenerate submanifold of the hyperplane coincides. Moreover, a formula for the Diophantine exponents of a hyperplane is given.NEWLINENEWLINEThe proof is based on multiparameter dynamics on unimodular lattices.
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