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Equivariant frame fields on spheres with complementary equivariant complex structures

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Abstract

LetG be a finite group and letM be a unitary representation space ofG. We consider the existence problem of equivariant frame fields on the unit sphereS(M) whose orthogonal complements in the tangent bundleT(S(M)) admitG-equivariant complex structures. Under mild fixed point conditions we give a complete solution for this problem whenG is either ℤ/2ℤ or a finite group of odd order.

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  1. Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey

    Turgut Önder

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  1. Turgut Önder
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Önder, T. Equivariant frame fields on spheres with complementary equivariant complex structures. Manuscripta Math 86, 393–407 (1995). https://doi.org/10.1007/BF02568001

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  • DOI: https://doi.org/10.1007/BF02568001

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