caa a22 4500 467979405 CHVBK 20180323112515.0 cr unu---uuuuu 170328e19901001xx s 000 0 eng 10.1007/BF02844768 doi (NATIONALLICENCE)springer-10.1007/BF02844768 Homotopy groups of some homogeneous spaces and some remarks on their sections over spheres [Elektronische Daten] [Mohammed Abdelal, Turgut Önder] Stable homotopy groups and a few of the unstable homotopy groups of the homogeneous spacesSO(2n)/U(s) andU(2n)/Sp(s) fors<n, and those ofSO(4n)/Sp(s) fors≤n are computed. The enumeration of homotopy classes of normalized almost complex (n−1) and (n−2) substructures with oriented framed complements are given. Some results about the existence of the equivariant cross sections of these homogeneous spaces over the spheres with respect to certain unitary group actions are proved. Springer, 1990 Abdelal Mohammed Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey aut Önder Turgut Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey aut Rendiconti del Circolo Matematico di Palermo Springer-Verlag 39/3(1990-10-01), 381-394 0009-725X 39:3<381 1990 39 12215 https://doi.org/10.1007/BF02844768 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02844768 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Abdelal Mohammed Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey aut NATIONALLICENCE 700 1- Önder Turgut Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey aut NATIONALLICENCE 773 0- Rendiconti del Circolo Matematico di Palermo Springer-Verlag 39/3(1990-10-01), 381-394 0009-725X 39:3<381 1990 39 12215 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer