Grassmannians and Conformal Structure on Absolutes

Anan'in, Sasha; Bento Goncalves, Eduardo C.; Grossi, Carlos H.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Grassmannians and Conformal Structure on Absolutes

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Author(s):	Anan'in, Sasha ^[1] ; Bento Goncalves, Eduardo C. ; Grossi, Carlos H. ^[1] Total Authors: 3
Affiliation:	^[1] Univ Sao Paulo, ICMC, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	Advances in Applied Clifford Algebras; v. 29, n. 1 FEB 2019.
Web of Science Citations:	0
Abstract
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)

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