The Michigan Mathematical Journal
- Michigan Math. J.
- Volume 67, Issue 3 (2018), 585-615.
Manifolds Which Admit Maps with Finitely Many Critical Points Into Spheres of Small Dimensions
We construct, for and , closed manifolds with finite nonzero ), where denotes the minimum number of critical points of a smooth map . We also give some explicit families of examples for even and , taking advantage of the Lie group structure on . Moreover, there are infinitely many such examples with . Eventually, we compute the signature of the manifolds occurring for even .
Michigan Math. J., Volume 67, Issue 3 (2018), 585-615.
Received: 17 November 2016
Revised: 24 July 2017
First available in Project Euclid: 20 June 2018
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Funar, Louis; Pintea, Cornel. Manifolds Which Admit Maps with Finitely Many Critical Points Into Spheres of Small Dimensions. Michigan Math. J. 67 (2018), no. 3, 585--615. doi:10.1307/mmj/1529460326. https://projecteuclid.org/euclid.mmj/1529460326