On vector fields having properties of Reeb fields

Preprint, Other literature type English OPEN
Hajduk, Bogusław; Walczak, Rafał;
  • Publisher: Nicolaus Copernicus University, Juliusz P. Schauder Centre for Nonlinear Studies
  • Journal: issn: 1230-3429
  • Publisher copyright policies & self-archiving
  • Subject: Mathematics - Symplectic Geometry | 53D15, 53D35 (Primary) 57R25 (Secondary)
    arxiv: Mathematics::Differential Geometry | Mathematics::Symplectic Geometry

We study constructions of vector fields with properties which are characteristic to Reeb vector fields of contact forms. In particular, we prove that all closed oriented odd-dimensional manifold have geodesible vector fields.
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