EQUIVARIANT FRAME FIELDS ON SPHERES WITH COMPLEMENTARY EQUIVARIANT COMPLEX STRUCTURES

ONDER, MUSTAFA

doi:10.1007/bf02568001

EQUIVARIANT FRAME FIELDS ON SPHERES WITH COMPLEMENTARY EQUIVARIANT COMPLEX STRUCTURES

ONDER T.

MANUSCRIPTA MATHEMATICA, cilt.86, sa.4, ss.393-407, 1995 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 86 Sayı: 4
Basım Tarihi: 1995
Doi Numarası: 10.1007/bf02568001
Dergi Adı: MANUSCRIPTA MATHEMATICA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.393-407
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Let G be a finite group and let M be a unitary representation space of G. We consider the existence problem of equivariant frame fields on the unit sphere S(M) whose orthogonal complements in the tangent bundle T(S(M)) admit G-equivariant complex structures. Under mild fixed point conditions we give a complete solution for this problem when G is either Z/2Z or a finite group of odd order.