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Type: Artigo de periódico
Title: Suspending the Cartan Embedding of HPn Through Spindles and Generators of Homotopy Groups
Author: Duran, CE
Puttmann, T
Rigas, A
Abstract: We provide an equivariant suspension of the Cartan embedding of the symmetric space S4n+3 -> HPn curved right arrow Sp(n + 1); this construction furnishes geometric generators of the homotopy group of pi(4n+6)Sp(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.
Subject: Cartan embedding
homotopy groups
Country: Suíça
Editor: Birkhauser Verlag Ag
Citation: Results In Mathematics. Birkhauser Verlag Ag, v. 60, n. 41730, n. 255, n. 263, 2011.
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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