| Diophantine vectors in analytic submanifolds of Euclidean spaces |
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| 引用本文： | Rong-mei CAO~(1 ) Jian-gong YOU~2 1 College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China, 2 Department of Mathematics,Nanjing University,Nanjing 210093,China. Diophantine vectors in analytic submanifolds of Euclidean spaces[J]. 中国科学A辑(英文版), 2007, 50(9): 1334-1338. DOI: 10.1007/s11425-007-0088-2 |
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| 作者姓名： | Rong-mei CAO~(1 ) Jian-gong YOU~2 1 College of Science Nanjing University of Aeronautics and Astronautics Nanjing 210016 China 2 Department of Mathematics Nanjing University Nanjing 210093 China |
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| 作者单位： | Rong-mei CAO（College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China） ;Jian-gong YOU（Department of Mathematics, Nanjing University, Nanjing 210093, China） ; |
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| 基金项目： | 国家自然科学基金;国家重点基础研究发展计划(973计划) |
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| 摘 要： | Let M be an m-dimensional analytic manifold in R~n.In this paper,we prove that almost all vectors in M (in the sense of Lebesgue measure) are Diophantine if there exists one Diophantine vector in M.
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| 收稿时间： | 2005-11-07 |
Diophantine vectors in analytic submanifolds of Euclidean spaces |
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| Rong-mei Cao,Jian-gong You. Diophantine vectors in analytic submanifolds of Euclidean spaces[J]. Science in China(Mathematics), 2007, 50(9): 1334-1338. DOI: 10.1007/s11425-007-0088-2 |
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| Authors: | Rong-mei Cao Jian-gong You |
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| Affiliation: | 1. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2. Department of Mathematics, Nanjing University, Nanjing 210093, China |
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| Abstract: | Let M be an m-dimensional analytic manifold in R~n.In this paper,we prove that almost all vectors in M (in the sense of Lebesgue measure) are Diophantine if there exists one Diophantine vector in M. |
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| Keywords: | diophantine vector analytic submanifold |
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