In mathematics, the Reeb
vector field, named after the French mathematician
Georges Reeb, is a notion that appears in various domains of
contact geometry
In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying a condition called 'complete non-integrability'. Equivalently, such a distribution m ...
including:
* in a
contact manifold, given a contact 1-form
, the Reeb vector field satisfies
,
[http://www2.im.uj.edu.pl/katedry/K.G/AutumnSchool/Monday.pdf ]
* in particular, in the context of
Sasakian manifold#The Reeb vector field.
References
*
*
Contact geometry
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