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Hypoelliptic vector fields and almost periodic motions on the torus Tn |
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| Authors: | Chen Wenyi† M. Y. Chi‡ |
| Affiliation: | 1. ?Wuhan University , Wuhan, P.R, 430072, China;2. Institute of Mathematics , Beijing, P.R, 100080 |
| Abstract: | Abstract: In this paper we prove that a hypoelliptic vector fields on the torus Tn may be transformed by a smooth diffeomorphism of torus Tn into a vector field with constant coefficients, which moreover satisfy a Diophantine condition. We also discuss the relation between the hypoelliptic vecttor fields and the almost periodic motions on the torus Tn |
| Keywords: | Hypoellipticity Almost Periodic Motions Diophantine condition 1991 Mathematics Subject Classification: Primary 35F05 Secondary 11A55 |