Reeb vector field

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In mathematics, the Reeb vector field, named after the French mathematician Georges Reeb, is a notion that appears in various domains of contact geometry including:

• in a contact manifold, given a contact 1-form ${\displaystyle \alpha }$, the Reeb vector field satisfies ${\displaystyle R\in \mathrm {ker} \ d\alpha ,\ \alpha (R)=1}$,^[1][2]
• in particular, in the context of Sasakian manifold#The Reeb vector field.

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