Homotopy groups of some homogeneous spaces and some remarks on their sections over the sphere

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Önder M. T., Abdelal M.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, cilt.139, sa.3, ss.381-394, 1990 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 139 Sayı: 3
• Basım Tarihi: 1990
• Dergi Adı: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.381-394
• Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Stable homotopy groups and a few of the unstable homotopy groups

of the homogeneous spaces SO(2n)/U(s) and U(2n)/Sp(s) for s < n,

and those of SO(4n)/Sp(s) for s <_ 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