Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/34708
Autoria: | Laureano, R. D. |
Data: | 2025 |
Título próprio: | Cocycles in lie groups, cochains and regularity problem |
Título da revista: | European Journal of Pure and Applied Mathematics |
Volume: | 18 |
Número: | 2 |
Referência bibliográfica: | Laureano, R. D. (2025). Cocycles in lie groups, cochains and regularity problem. European Journal of Pure and Applied Mathematics, 18(2), Article 5830. https://doi.org/10.29020/nybg.ejpam.v18i2.5830 |
ISSN: | 1307-5543 |
DOI (Digital Object Identifier): | 10.29020/nybg.ejpam.v18i2.5830 |
Palavras-chave: | Cocycle Cohomological equation Coboundary Cochain Livschitz theorem Lie group Anosov flow Anosov diffeomorphism |
Resumo: | After the fundamental work of Livschitz in [1, 2], various research directions emerged, among which the following stand out: (i) the study of cocycles with values in groups and semigroups beyond R, as well as the investigation of corresponding regularity results; (ii) the analysis of how a certain degree of regularity (Ck for k = 1, 2, . . . , ∞, ?) of the cocycle can confer corresponding regularity to the solution of the cohomological equation; and (iii) the study of higher-dimensional cohomology naturally associated with the action of groups such as Zk or Rk. The aim of this article is to present, as self-contained as possible, a review of the natural generalizations of the notions of cocycles and cochains, as well as their corresponding results, in the study of cohomological equations. |
Arbitragem científica: | yes |
Acesso: | Acesso Aberto |
Aparece nas coleções: | ISTAR-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Ficheiros deste registo:
Ficheiro | Tamanho | Formato | |
---|---|---|---|
article_111780.pdf | 409,73 kB | Adobe PDF | Ver/Abrir |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.