Differential and Integral Projective Invariants for the Groups of Diffeomorphisms
- Autores: Bibikov P.V.1
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Afiliações:
- Institute of Control Sciences
- Edição: Volume 39, Nº 1 (2018)
- Páginas: 25-28
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200784
- DOI: https://doi.org/10.1134/S1995080218010055
- ID: 200784
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Resumo
In this paper we study the differential and integral invariants for the action of the projective group PGL(n + 1) on the group of diffeomorphisms Diff(ℝPn) by conjugations. Cases n = 1 and n = 2 are considered. For n = 1 the algebra of differential invariants is found and the criterion of the local equivalence of two diffeomorphisms is obtained. Also several integral invariants for n = 1 and n = 2 are calculated, the analogy with Calaby integral invariant for the symplectic groups is established.
Sobre autores
P. Bibikov
Institute of Control Sciences
Autor responsável pela correspondência
Email: tsdtp4u@proc.ru
Rússia, ul. Profsoyuznaya 65, Moscow, 117997
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