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2014•Научный вестник Московского государственного технического университета гражданской авиацииRequires access

О задаче продолжения диффеоморфизмов тора и ее приложениях

Лукацкий Александр Михайлович

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Abstract

The construction of the extensions of a 2-torus diffeomorphism up to volume preserving diffeomorphism of solid tori is proposed. The construction is illustrated on the example of extension of diffeomorphism of action on the torus. These extensions are used for the construction of kinematic dynamo examples onto solid torus. For the case of n -sphere a generation of results obtained before is proposed.

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What this paper is about

The construction of the extensions of a 2-torus diffeomorphism up to volume preserving diffeomorphism of solid tori is proposed. The construction is illustrated on the example of extension of diffeomorphism of action on the torus. These extensions are used for the construction of kinematic dynamo examples onto solid torus. For the case of n -sphere a generation of results obtained before is proposed.

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Available abstract

The construction of the extensions of a 2-torus diffeomorphism up to volume preserving diffeomorphism of solid tori is proposed. The construction is illustrated on the example of extension of diffeomorphism of action on the torus. These extensions are used for the construction of kinematic dynamo examples onto solid torus. For the case of n -sphere a generation of results obtained before is proposed.

Key concepts: Diffeomorphism, Torus, Clifford torus, Mathematics, Kinematics, Action (physics), Dynamo, Extension (predicate logic)

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О задаче продолжения диффеоморфизмов тора и ее приложениях — Research Paper | ScholarLens