Closed 1-forms with at most one zero

M. Farber; D. Schütz

doi:10.1016/j.top.2005.06.006

Closed 1-forms with at most one zero

M. Farber^*, D. Schütz

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that in any nonzero cohomology class ξ ∈ H¹ ( M ; R ) there always exists a closed 1-form having at most one zero.

Original language	English
Pages (from-to)	465-473
Number of pages	9
Journal	Topology
Volume	45
Issue number	3
DOIs	https://doi.org/10.1016/j.top.2005.06.006
State	Published - May 2006
Externally published	Yes

Keywords

Closed 1-form
Lusternik-Schnirelmann theory
Novikov theory

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10.1016/j.top.2005.06.006

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title = "Closed 1-forms with at most one zero",

abstract = "We prove that in any nonzero cohomology class ξ ∈ H1 ( M ; R ) there always exists a closed 1-form having at most one zero.",

keywords = "Closed 1-form, Lusternik-Schnirelmann theory, Novikov theory",

author = "M. Farber and D. Sch{\"u}tz",

year = "2006",

month = may,

doi = "10.1016/j.top.2005.06.006",

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AB - We prove that in any nonzero cohomology class ξ ∈ H1 ( M ; R ) there always exists a closed 1-form having at most one zero.

KW - Closed 1-form

KW - Lusternik-Schnirelmann theory

KW - Novikov theory

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VL - 45

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EP - 473

JO - Topology

JF - Topology

IS - 3

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Closed 1-forms with at most one zero

Abstract

Keywords

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