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Type: Artigo de periódico
Author: Anan'in, S
Grossi, CH
Abstract: This paper is devoted to a coordinate-free approach to several classic geometries such as hyperbolic (real, complex, quaternionic), elliptic (spherical, Fubini-Study), and lorentzian (de Sitter, anti de Sitter) ones. These geometries carry a certain simple structure that is in some sense stronger than the riemannian structure. Their basic geometrical objects have linear nature and provide natural compactifications of classic spaces. The usual riemannian concepts are easily derivable from the strong structure and thus gain their coordinate-free form. Many examples illustrate fruitful features of the approach. The framework introduced here has already been shown to be adequate for solving problems concerning particular classic spaces.
Subject: Classic geometries
hyperbolic geometry
Fubini-Study metric
parallel transport
Country: Federação da Rússia
Editor: Independent Univ Moscow
Citation: Moscow Mathematical Journal. Independent Univ Moscow, v. 11, n. 4, n. 633, n. 655, 2011.
Rights: fechado
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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