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2000•Communications in Partial Differential EquationsRequires access

Hypoelliptic vector fields and almost periodic motions on the torus Tn

Chen Wenyi†, M. Y. Chi‡

Open publisher page 29 citations

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

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What this paper is about

: 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

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Available 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

Key concepts: Torus, Mathematics, Diffeomorphism, Hypoelliptic operator, Vector field, Diophantine equation, Pure mathematics, Mathematical analysis

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