Intrinsic Diophantine approximation on manifolds: General theory
نویسندگان
چکیده
منابع مشابه
Intrinsic Diophantine Approximation on Manifolds: General Theory
We investigate the question of how well points on a nondegenerate k-dimensional submanifold M ⊆ Rd can be approximated by rationals also lying on M , establishing an upper bound on the “intrinsic Dirichlet exponent” for M . We show that relative to this exponent, the set of badly intrinsically approximable points is of full dimension and the set of very well intrinsically approximable points is...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2017
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/6971