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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Tight analytic immersions of highly connected manifolds


Author: Ross Niebergall
Journal: Proc. Amer. Math. Soc. 120 (1994), 907-916
MSC: Primary 53C42; Secondary 57R42
DOI: https://doi.org/10.1090/S0002-9939-1994-1169885-5
MathSciNet review: 1169885
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Abstract: An immersion of a manifold which minimizes total absolute curvature is called tight. In this paper we determine which $ (k - 1)$-connected (but not $ k$-connected) manifolds of dimension $ 2k$, with trivial $ k$th Stiefel-Whitney class, admit codimension $ 2$ tight analytic immersions.


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DOI: https://doi.org/10.1090/S0002-9939-1994-1169885-5
Article copyright: © Copyright 1994 American Mathematical Society