Closed 1-forms with at most one zero

Farber, Michael; Schutz, Dirk

Abstract

We prove that in any nonzero cohomology class ξH1(M;R) there always exists a closed 1-form having at most one zero.

Citation

Farber, M., & Schutz, D. (2006). Closed 1-forms with at most one zero. Topology (Oxford), 45(3), 465-473. https://doi.org/10.1016/j.top.2005.06.006

• Journal Article Type: Article
• Publication Date: 2006-05
• Deposit Date: Feb 29, 2008
• Journal: Topology
• Print ISSN: 0040-9383
• Electronic ISSN: 1879-3215
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 45
• Issue: 3
• Pages: 465-473
• DOI: https://doi.org/10.1016/j.top.2005.06.006
• Keywords: Closed 1-form, Lusternik-Schnirelmann theory, Novikov theory.
• Public URL: https://durham-repository.worktribe.com/output/1561648