On vector fields having properties of Reeb fields

Bogusław Hajduk, Rafał Walczak

Abstract


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.

Keywords


Reeb field; presymplectic form; contact form; geodesible field

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