EQUIVARIANT FRAME FIELDS ON SPHERES WITH COMPLEMENTARY EQUIVARIANT COMPLEX STRUCTURES

ONDER T.

MANUSCRIPTA MATHEMATICA, vol.86, no.4, pp.393-407, 1995 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 86 Issue: 4
  • Publication Date: 1995
  • Doi Number: 10.1007/bf02568001
  • Journal Name: MANUSCRIPTA MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.393-407
  • Middle East Technical University Affiliated: Yes

Abstract

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.