On the minimal number of critical points of smooth maps between closed manifolds
type: Item
instance of: scholarly article
title: On the minimal number of critical points of smooth maps between closed manifolds
zbMATH Open document ID: 1194.58032
DOI: 10.1134/S1061920809030042
author: Dorin Andrica
author: Louis Funar
author: E. A. Kudryavtseva
published in: Russian Journal of Mathematical Physics
publication date: 2009-11-10T00:00:00Z
review text: New additional information concerning the minimal number of critical points of smooth proper mappings between closed connected surfaces (possibly with boundary) without critical points on the boundary is presented [see \textit{D. Andrica} and \textit{L. Funar}, J. Lond. Math. Soc., II. Ser. 69, No. 3, 783--800 (2004); addendum ibid. 73, No. 1, 231--236 (2006; Zbl 1052.57051); \textit{L. Funar, C. Pintea} and \textit{P. Zhang}, Proc. Am. Math. Soc. 138, No. 1, 355--365 (2010; Zbl 1192.57014)].
reviewed by: Maido Rahula
Mathematics Subject Classification ID: 58K05
zbMATH DE Number: 5628083
zbMATH Keywords: critical points of mappings
MaRDI profile type: Publication
cites work: On Smooth Maps with Finitely Many Critical Points
cites work: On the Construction of Branched Coverings of Low-Dimensional Manifolds
cites work: Q3372382
cites work: Realization of primitive branched coverings over closed surfaces following the Hurwitz approach
cites work: Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality
cites work: Differentiable maps with O-dimensional critical set. I
cites work: Q4765760
cites work: Q4766260
cites work: Lefschetz pencils on symplectic manifolds.
cites work: Q3421142
cites work: Realizability of Branched Coverings of Surfaces
cites work: Q3428115
cites work: Branch Point Structure of Covering Maps Onto Nonorientable Surfaces
cites work: Examples of smooth maps with finitely many critical points in dimensions $(4,3)$, $(8,5)$ and $(16,9)$
cites work: Ramified coverings of Riemann surfaces
cites work: Topological type of isolated critical points
cites work: Minimal number of singular fibers in a Lefschetz fibration
cites work: Q5335878
cites work: Handlebody decompositions of 4-manifolds and torus fibrations
cites work: Continuous mappings with an infinite number of topologically critical points
cites work: Q5687983
cites work: Q3972767
cites work: On the number of vanishing cycles in Lefschetz fibrations
cites work: Singular fibers in Lefschetz fibrations on manifolds with \(b_2^+=1\)
full work available at URL: s1061920809030042
OpenAlex ID: W1976480088
description: scientific article; zbMATH DE number 5628083