Maps with finitely many critical points into high dimensional manifolds

Louis Funar

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arXiv · 1906.00718

Maps with finitely many critical points into high dimensional manifolds

Louis Funar

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Abstract

Assume that there exists a smooth map between two closed manifolds $M^m\to N^k$ with only finitely many cone-like singular points, where $2\leq k\leq m\leq 2k-1$. If $(m,k)\not\in\{(2,2), (4,3), (5,3), (8,5), (16,9)\}$, then $M^m$ admits a locally trivial topological fibration over $N^k$ and there exists a smooth map $M^m\to N^k$ with at most one critical point.

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BibTeX RIS

Louis Funar. 2019-06-03. Maps with finitely many critical points into high dimensional manifolds. https://arxiv.org/abs/1906.00718

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