In mathematics, Reeb sphere theorem, named after Georges Reeb, states that A closed oriented connected manifold M n that admits a singular foliation having...
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particular, the Reeb sphere theorem says that a compact manifold with a function with exactly two critical points is homeomorphic to the sphere. In turn, in...
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In mathematics, Reeb stability theorem, named after Georges Reeb, asserts that if one leaf of a codimension-one foliation is closed and has finite fundamental...
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Reeb graph Reeb sphere theorem Reeb stability theorem Reeb vector field This disambiguation page lists articles associated with the title Reeb. If an internal...
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(politics) Ratner's theorems (ergodic theory) Rauch comparison theorem (Riemannian geometry) Rédei's theorem (group theory) Reeb sphere theorem (foliations)...
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In mathematics, the Reeb foliation is a particular foliation of the 3-sphere, introduced by the French mathematician Georges Reeb (1920–1993). It is based...
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leaf. Theorem: A smooth codimension-one foliation of the 3-sphere S3 has a compact leaf. The leaf is a torus T2 bounding a solid torus with the Reeb foliation...
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Morse theory (section Fundamental theorems)
k=2} was studied by Georges Reeb in 1952; the Reeb sphere theorem states that M {\displaystyle M} is homeomorphic to a sphere S n . {\displaystyle S^{n}...
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Contact geometry (redirect from Reeb orbits)
to obtain results that hold for any Reeb vector field on the manifold. The Reeb field is named after Georges Reeb. The roots of contact geometry appear...
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n = 2 , 4 , 8 {\displaystyle n=2,4,8} or 16 {\displaystyle 16} . Reeb sphere theorem Eells, James Jr.; Kuiper, Nicolaas H. (1962), "Manifolds which are...
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