Equivariant cross sections of complex Stiefel manifolds

Date

2001-01-16

Author

Onder, T

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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.

Subject Keywords

Geometry and Topology

URI

https://hdl.handle.net/11511/63714

Journal

TOPOLOGY AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/s0166-8641(99)00149-2

Collections

Department of Mathematics, Article

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Citation Formats

T. Onder, “Equivariant cross sections of complex Stiefel manifolds,” TOPOLOGY AND ITS APPLICATIONS, pp. 107–125, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63714.