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Embeddings of nonorientable surfaces with totally reducible focal set

Published online by Cambridge University Press:  18 May 2009

Sheila Carter  and
Ridvan Ezentas
Sheila Carter
Affiliation:
School of Mathematics, University of Leeds, Leeds, LS2 9JT, U.K.
Ridvan Ezentas
Affiliation:
Uludag Universitesi, Fen-Ed. Fak. Mat. Böl., Bursa, Turkey
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In an earlier paper [5] we introduced the idea of an immersion f: Mm-ℝn with totally reducible focal set. Such an immersion has the property that, for all p ∈ M, the focal set with base p is a union of hyperplanes in the normal plane to f(M) at f(p). Trivially, this always holds if n = m + 1 so we only consider n > m + 1.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 36 , Issue 1 , January 1994 , pp. 11 - 16
Copyright
Copyright © Glasgow Mathematical Journal Trust 1994

References

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