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Type: Artigo de periódico
Title: Suspending The Cartan Embedding Of ℍpn Through Spindles And Generators Of Homotopy Groups
Author: Duran C.E.
Puttmann T.
Rigas A.
Abstract: We provide an equivariant suspension of the Cartan embedding of the symmetric space S4n+3 → ℍPn {right arrow, hooked} Sp(n+1); this construction furnishes geometric generators of the homotopy group of π4n+6Sp(n + 1). We study the topology and geometry of the image of this generator; in particular we show that it is a spindle, minimal with respect to the biinvariant metric from Sp(n + 1). This spindle also admits a different metric of positive curvature away from the cone singular point. © 2011 Springer Basel AG.
Rights: fechado
Identifier DOI: 10.1007/s00025-011-0185-y
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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