Equivariant cross sections of complex Stiefel manifolds


Onder T.

TOPOLOGY AND ITS APPLICATIONS, cilt.109, ss.107-125, 2001 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 109 Konu: 1
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1016/s0166-8641(99)00149-2
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.107-125

Özet

Let G be a finite group and let M be a unitary representation space of G. A solution to the existence problem of G-equivariant cross sections of the complex Stiefel manifold W-k(M) of unitary k-frames over the unit sphere S(M) is given under mild restrictions on G and on fixed point sets. In the case G is an even ordered group, some sufficient conditions for the existence of G-equivariant real frame fields on spheres with complementary G-equivariant complex structures are also obtained, improving earlier results about odd ordered groups. (C) 2001 Elsevier Science B.V. All rights reserved.