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On a theorem of Li-Banghe and Peterson on immersions of manifolds

Published online by Cambridge University Press:  17 April 2009

Tze-Beng Ng
Tze-Beng Ng
Affiliation:
Department of Mathematics, National University of Singapore, Lower Kent Ridge Rd, Singapore 0511
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Abstract

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Let Mn and N2n−2 be smooth, connected manifolds of dimension n and 2n − 2 respectively with n ≡ 2 mod 4 and 6 ≤ n ≤ 26. Let f: Mn → N2n−2 be a continuous map. Under certain suitable conditions on the stable normal bundle of f, we give a direct and simpler proof that f is homotopic to an immersion. For the case 6 ≤ n ≤ 26 and n ≠ 18, the result was proved by Li-Banghe and Peterson by using non-stable obstruction theory and their earlier result.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 2 , October 1988 , pp. 203 - 205
Copyright
Copyright © Australian Mathematical Society 1988

References

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