On Smooth Maps with Finitely Many Critical Points

DOI10.1112/S0024610704005320zbMath1052.57051arXivmath/0106020OpenAlexW2146396903MaRDI QIDQ4819162

Dorin Andrica, Luois Funar

Publication date: 24 September 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0106020

zbMATH Keywords

critical pointsexotic spheres

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Critical points and critical submanifolds in differential topology (57R70) Critical points of functions and mappings on manifolds (58K05) Homotopy spheres, Poincaré conjecture (57R60)

Related Items (5)

Manifolds which admit maps with finitely many critical points into spheres of small dimensions ⋮ Aspects of Global Analysis of Circle-Valued Mappings ⋮ Maps with finitely many critical points into high dimensional manifolds ⋮ Examples of smooth maps with finitely many critical points in dimensions $(4,3)$, $(8,5)$ and $(16,9)$ ⋮ On the minimal number of critical points of smooth maps between closed manifolds

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