Rendiconti del Circolo Matematico di Palermo

, Volume 41, Issue 1, pp 29–30 | Cite as

The rank of vector fields on real Grassmann manifolds

  • Július Korbaš


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].


Vector Field Euclidean Space Vector Bundle Line Bundle Tangent Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. [1]
    Hsiang W.C., Szczarba R.H.,On the tangent bundle of a Grassmann manifold, Amer. J. Math.86 (1964), 698–704MATHCrossRefMathSciNetGoogle Scholar
  2. [2]
    Koschorke U., Korbaš J.,The rank of vector fields on Grassmannian manifolds, Rend. Circ. Mat. Palermo (II)36, Suppl. 16 (1987), 113–117.Google Scholar

Copyright information

© Springer 1992

Authors and Affiliations

  • Július Korbaš
    • 1
    • 2
  1. 1.Mathematical InstituteSlovak Academy of SciencesBratislavaCzecho-Slovakia
  2. 2.Department of MathematicsUniversity of SiegenSiegenGermany

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