Artículos de revistas
Isometric actions on the projective planes and embedded generators of homotopy groups
Registro en:
Archiv Der Mathematik. Birkhauser Verlag Ag, v. 82, n. 2, n. 185, n. 192, 2004.
0003-889X
WOS:000220991800012
10.1007/s00013-003-4874-y
Autor
Puttmann, T
Rigas, A
Institución
Resumen
We determine all orbits of isometric actions on CP2, HP2, and OP2 that are covered by spheres and represent nontrivial classes in the corresponding homotopy groups. As new examples we find orbits that represent generators of pi(5) (HP2) approximate to Z(2) and pi(11) (OP2) approximate to Z(24). These orbits are the quaternionic and octonionic analogues of the quadric z(1)(2) + z(2)(2) + z(3)(2) = 0 in CP2. 82 2 185 192