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Fibre Bundles pp 203-228 | Cite as

Vector Fields on the Sphere

  • Dale Husemoller
Part of the Graduate Texts in Mathematics book series (GTM, volume 20)

Abstract

In Chap. 11, Theorem (8.2), we saw that S n−1 has ρ(n) — 1 orthonormal tangent vector fields defined on it. The object of this chapter is to outline the steps required to prove that S n−1 does not have ρ(n) orthonormal tangent vector fields defined on it; in fact, S n−1 does not have ρ(n) linearly independent tangent vector fields; see also Adams [6].

Keywords

Vector Bundle Fibre Bundle Spectral Sequence Group Morphism Cohomology Theory 
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.

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Copyright information

© Dale Hausemoller 1966

Authors and Affiliations

  • Dale Husemoller
    • 1
  1. 1.Department of MathematicsHaverford CollegeHaverfordUSA

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