1989•Chinese Physics LettersRequires access

Diffeomorphism and beltrami algebras on torus

Guo Hanying, Shen Jianmin, Wang Shikun, Kaiwen Xu

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Abstract

The infinite-dimensional algebras on two-dimensional torus are developed. In particular the diffeomorphism algebra and the Beltrami algebra on torus with their central extensions have been presented. It is shown that these algebras are corresponding to the diffeomorphism and the quasiconformal transformation of torus, respectively.

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What this paper is about

The infinite-dimensional algebras on two-dimensional torus are developed. In particular the diffeomorphism algebra and the Beltrami algebra on torus with their central extensions have been presented. It is shown that these algebras are corresponding to the diffeomorphism and the quasiconformal transformation of torus, respectively.

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Available abstract

The infinite-dimensional algebras on two-dimensional torus are developed. In particular the diffeomorphism algebra and the Beltrami algebra on torus with their central extensions have been presented. It is shown that these algebras are corresponding to the diffeomorphism and the quasiconformal transformation of torus, respectively.

Key concepts: Diffeomorphism, Torus, Pure mathematics, Transformation (genetics), Algebra over a field, Mathematics, Physics, Geometry

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