EQUIVARIANT FRAME FIELDS ON SPHERES WITH COMPLEMENTARY EQUIVARIANT COMPLEX STRUCTURES

Date

1995-12-01

Author

Önder, Mustafa Turgut

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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.

URI

https://hdl.handle.net/11511/113925

Journal

MANUSCRIPTA MATHEMATICA

DOI

https://doi.org/10.1007/bf02568001

Collections

Department of Mathematics, Article

Citation Formats

M. T. Önder, “EQUIVARIANT FRAME FIELDS ON SPHERES WITH COMPLEMENTARY EQUIVARIANT COMPLEX STRUCTURES,” MANUSCRIPTA MATHEMATICA, vol. 86, no. 4, pp. 393–407, 1995, Accessed: 00, 2025. [Online]. Available: https://hdl.handle.net/11511/113925.