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 \( \alpha \), 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.
References
http://people.math.gatech.edu/%7Eetnyre/preprints/papers/phys.pdf
http://www2.im.uj.edu.pl/katedry/K.G/AutumnSchool/Monday.pdf
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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