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Non-orthogonalisable vector fields on spheres
Published online by Cambridge University Press: 20 January 2009
Extract
A (k – l)-field on Sn-1 may be given as a section ϕ of the fibre bundle
with fibre Vn-1, k-1 or, equivalently, as a semi-orthogonal map, i.e., a map
which is isometric in the second variable and such that for the basis vector e1∈Rk and every x∈Rn
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 3 , October 1984 , pp. 275 - 281
- Copyright
- Copyright © Edinburgh Mathematical Society 1984