Grassmannians and Conformal Structure on Absolutes

Autor(es)

Anan'in, Sasha ^[1] ; Bento Goncalves, Eduardo C. ; Grossi, Carlos H. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, ICMC, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Advances in Applied Clifford Algebras; v. 29, n. 1 FEB 2019.
• Citações Web of Science: 0

Resumo

We study grassmannians associated with a linear space with a nondegenerate hermitian form. The geometry of these grassmannians allows us to explain the relation between a (pseudo-)riemannian projective geometry and the conformal structure on its ideal boundary (absolute). Such relation encompasses, for instance, the usual conformal structure on the absolute of real hyperbolic space, the usual conformal structure on the absolute of de Sitter space, the conformal contact structure on the absolute of complex hyperbolic space, and the causal structure on the absolute of anti-de Sitter space. (AU)

• Processo FAPESP: 07/56989-0 - Fibrados hiperelipticos em geometrias classicas.
• Beneficiário: Eduardo Carvalho Bento Gonçalves
• Modalidade de apoio: Bolsas no Brasil - Mestrado