Diffeomorphism and beltrami algebras on torus
Guo Hanying, Shen Jianmin, Wang Shikun, Kaiwen Xu
Abstract
Guo Hanying, Shen Jianmin, Wang Shikun, Kaiwen Xu
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.
OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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