Artículos de revistas
Suspending the Cartan Embedding of HPn Through Spindles and Generators of Homotopy Groups
Registro en:
Results In Mathematics. Birkhauser Verlag Ag, v. 60, n. 41730, n. 255, n. 263, 2011.
1422-6383
WOS:000294960100016
10.1007/s00025-011-0185-y
Autor
Duran, CE
Puttmann, T
Rigas, A
Institución
Resumen
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. 60 41730 255 263