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Reeb sphere theorem


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Totally geodesic foliations and minimal foliations of the Semi Riemannian manifolds

In mathematics, Reeb sphere theorem, named after Georges Reeb, states thatA closed oriented connected manifold M n that admits a singular foliation having only centers is homeomorphic to the sphere Sn and the foliation has exactly two singularities.
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  • Morse foliation 

  • Reeb sphere theorem 

  • Generalization