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Article Dans Une Revue Revista Matematica Complutense Année : 2021

Maps with finitely many critical points into high dimensional manifolds

Louis Funar

Résumé

Assume that there exists a smooth map between two closed manifolds M-m -> N-k, where 2 <= k <= m <= 2k-1, with only finitely many singular points, all of which are cone-like. If(m,k)is not an element of{(2,2),(4,3),(5,3),(8,5),(16,9)}, then M-m admits a locally trivial topological fibration over N-k and there exists a smooth map M-m -> N-k with at most one critical point.

Dates et versions

hal-02988437 , version 1 (04-11-2020)

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Citer

Louis Funar. Maps with finitely many critical points into high dimensional manifolds. Revista Matematica Complutense, 2021, 34 (2), pp.585-595. ⟨10.1007/s13163-020-00362-y⟩. ⟨hal-02988437⟩
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