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Athwart immersions in Euclidean space

Part of: Differential topology Classical differential geometry

Published online by Cambridge University Press:  09 April 2009

S. A. Robertson  and
F. J. Craveiro de Carvalho
S. A. Robertson
Affiliation:
Faculty of Mathematical Studies The University Southampton, S09 5NH, England
F. J. Craveiro de Carvalho
Affiliation:
Departmento de Mathemática Universidade de Coimbra3000 Coimbra, Portugal
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Abstract

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Let f and g denote immersions of the n-manifolds M and N, respectively, in Rn+1. We say that f is athwart to g if f(M) and g(N)m have no tangent hyperplane in common. In this paper necessary conditions for athwartness are obtained.

MSC classification

Secondary: 57R42: Immersions 53A04: Curves in Euclidean space 53A05: Surfaces in Euclidean space 53A07: Higher-dimensional and -codimensional surfaces in Euclidean $n$-space
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 2 , October 1984 , pp. 282 - 286
Copyright
Copyright © Australian Mathematical Society 1984

References

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