Tight analytic immersions of highly connected manifolds

Niebergall, Ross

doi:10.1090/S0002-9939-1994-1169885-5

Tight analytic immersions of highly connected manifolds
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Proc. Amer. Math. Soc. 120 (1994), 907-916 Request permission

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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