Examples of smooth maps with finitely many critical points in dimensions (4,3), (8,5) and (16,9)

Funar, Louis; Pintea, Cornel; Zhang, Ping

doi:10.1090/S0002-9939-09-10028-X

Examples of smooth maps with finitely many critical points in dimensions $(4,3)$, $(8,5)$ and $(16,9)$
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by Louis Funar, Cornel Pintea and Ping Zhang PDF

Proc. Amer. Math. Soc. 138 (2010), 355-365 Request permission

Abstract:

We consider manifolds $M^{2n}$ which admit smooth maps into a connected sum of $S^1\times S^n$ with only finitely many critical points, for $n\in \{2,4,8\}$, and compute the minimal number of critical points.

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