On sufficient and necessary conditions for linearity of the transverse Poisson structure

• Tipo: Artigo em Revista Científica Internacional
• Data: 2010

Autores

Cruz, I (Autor) FCUP; Fardilha, T (Autor) Outra

Revista

Título: Journal of Geometry and Physics

Vol. 60

Páginas: 543-551

ISSN: 0393-0440

Editora: Elsevier

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-003-8RN

DOI: 10.1016/j.geomphys.2009.12.001

Abstract (EN): We study the possibility of bringing the transverse Poisson structure to a coadjoint orbit(on the dual of a real Lie algebra) to a normal linear form. We study the relation between two sufficient conditions for linearity of such structures (P. Molino's condition and our own). We then use these conditions to conclude that, if the isotropy subgroup of the (singular) point in question is compact, or if the isotropy subalgebra is semisimple, then there is a linear transverse Poisson structure to the corresponding coadjoint orbit. Finally, by using a natural necessary condition for linearity of such structures, we will prove that there is no polynomial transverse Poisson structure in the case of c(3)*.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9