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].
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© 1966 Dale Hausemoller
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Husemoller, D. (1966). Vector Fields on the Sphere. In: Fibre Bundles. Graduate Texts in Mathematics, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4008-0_15
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DOI: https://doi.org/10.1007/978-1-4757-4008-0_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-4010-3
Online ISBN: 978-1-4757-4008-0
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