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The rank of vector fields on real Grassmann manifolds

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Abstract

We answer here in the negative the question of whether nowhere vanishing tangent vector fields on the Grassmann manifolds can be distinguished by their ranks as defined in [2].

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References

  1. Hsiang W.C., Szczarba R.H.,On the tangent bundle of a Grassmann manifold, Amer. J. Math.86 (1964), 698–704

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  2. Koschorke U., Korbaš J.,The rank of vector fields on Grassmannian manifolds, Rend. Circ. Mat. Palermo (II)36, Suppl. 16 (1987), 113–117.

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Authors and Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Obrancov mieru 49, 814 73, Bratislava, Czecho-Slovakia

    Július Korbaš

  2. Department of Mathematics, University of Siegen, Hölderlinstraße 3, 5900, Siegen, Germany

    Július Korbaš

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  1. Július Korbaš
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Korbaš, J. The rank of vector fields on real Grassmann manifolds. Rend. Circ. Mat. Palermo 41, 29–30 (1992). https://doi.org/10.1007/BF02844460

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  • DOI: https://doi.org/10.1007/BF02844460

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