dc.creator | Duran C.E. | |
dc.creator | Puttmann T. | |
dc.creator | Rigas A. | |
dc.date | 2011 | |
dc.date | 2015-06-30T20:46:06Z | |
dc.date | 2015-11-26T14:55:01Z | |
dc.date | 2015-06-30T20:46:06Z | |
dc.date | 2015-11-26T14:55:01Z | |
dc.date.accessioned | 2018-03-28T22:07:03Z | |
dc.date.available | 2018-03-28T22:07:03Z | |
dc.identifier | | |
dc.identifier | Results In Mathematics. , v. 60, n. 1, p. 255 - 263, 2011. | |
dc.identifier | 14226383 | |
dc.identifier | 10.1007/s00025-011-0185-y | |
dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-80052915476&partnerID=40&md5=8d13523aeb1f40ad620767dd8b0963f0 | |
dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/109154 | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/109154 | |
dc.identifier | 2-s2.0-80052915476 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1255269 | |
dc.description | 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. | |
dc.description | 60 | |
dc.description | 1 | |
dc.description | 255 | |
dc.description | 263 | |
dc.description | Abresch, U., Durán, C.E., Püttmann, T., Rigas, A., Wiedersehen metrics and exotic involutions of Euclidean spheres (2007) J. Reine Angew. Math., 605, pp. 1-21 | |
dc.description | Abresch, U., Durán, C.E., Püttmann, T., Rigas, A., An Exotic Involution of the 5-sphere, Quicktime Movie, , http://homepage.ruhr-uni-bochum.de/Thomas.Puettmann/XInvolution.html | |
dc.description | Balinskaya, I.S., Minimal cones of the adjoint action of classical Lie groups (1986) Russ. Math. Surv., 41, pp. 201-202 | |
dc.description | Bott, R., The stable homotopy of the classical groups (1959) Ann. Math. (2), 70, pp. 313-337 | |
dc.description | Bryant, R., Personal Communication | |
dc.description | Durán, C.E., Pointed Wiedersehen metrics on exotic spheres and diffeomorphisms of S6 (2001) Geom. Dedic., 88 (1-3), pp. 199-210 | |
dc.description | Durán, C.E., Rigas, A., Equivariant homotopy and deformations of diffeomorphisms (2009) Differ. Geom. Appl., 27 (2), pp. 206-211 | |
dc.description | Durán, C.E., Mendoza, A., Rigas, A., Blakers-Massey elements and exotic diffeomorphisms of S6 and S14 (2004) Trans. Am. Math. Soc., 356 (12), pp. 5025-5043 | |
dc.description | Fomenko, A.T., (1990) Variational Principles in Topology, Mathematics and Its Applications, Vol. 42, , Dordrecht: Kluwer | |
dc.description | Gorodski, C., Enlarging totally geodesic submanifolds of symmetric spaces to minimal submanifolds of one dimension higher (2004) Proc. Am. Math. Soc., 132, pp. 2441-2447 | |
dc.description | Gromoll, D., Meyer, W., An exotic sphere with non-negative sectional curvature (1972) Ann. Math., 96 (2), pp. 413-443 | |
dc.description | Helgason, S., (1978) Differential Geometry, Lie Groups, and Symmetric Spaces, , New York: Academic Press Inc. [Harcourt Brace Jovanovich Publishers] | |
dc.description | Hsiang, W.-Y., Lawson, H.B., Minimal submanifolds of low cohomogeneity (1971) J. Diff. Geom., 5, pp. 1-38 | |
dc.description | Quast, P., Spindles' in symmetric spaces (2006) J. Math. Soc. Japan, 58 (4), pp. 985-994 | |
dc.description | Püttmann, T., (2004) Some Homotopy Groups of the Classical Groups From a Geometric Viewpoint, , Habilitation thesis, Bochum | |
dc.description | Püttmann, T., Rigas, A., Presentations of the first homotopy groups of the unitary groups (2003) Comment. Math. Helv., 78 (3), pp. 648-662 | |
dc.description | Rigas, A., Geodesic spheres as generators of πq(O), πq+1(BO) (1978) J. Diff. Geom., 13 (4), pp. 527-545 | |
dc.description | Toda, H., (1962) Composition Methods in the Homotopy Groups of Spheres. Annals of Mathematics Studies, Vol. 49, , Princeton: Princeton University Press | |
dc.language | en | |
dc.publisher | | |
dc.relation | Results in Mathematics | |
dc.rights | fechado | |
dc.source | Scopus | |
dc.title | Suspending The Cartan Embedding Of ℍpn Through Spindles And Generators Of Homotopy Groups | |
dc.type | Artículos de revistas | |