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Non-orthogonalisable vector fields on spheres

Published online by Cambridge University Press:  20 January 2009

Martin Raussen
Martin Raussen
Affiliation:
Mathematissches Institut der Universität GöttingenBunsenstrasse 3/5, D 3400 Göttingen Matematisk Institut, Aarhus UniversitetNy Munkegade, DK-8000 Aarhus C
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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

References

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