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A Reeb graph [1] (named after Georges Reeb by René Thom) is a mathematical object reflecting the evolution of the level sets of a real-valued function on a manifold. [2] According to [ 3 ] a similar concept was introduced by G.M. Adelson-Velskii and A.S. Kronrod and applied to analysis of Hilbert's thirteenth problem . [ 4 ]
David Reeb (born 1952), Israeli artist; Georges Reeb (1920–1993), French mathematician; James Reeb (1927–1965) American civil rights activist; Jörg Reeb (born 1972), German footballer; Larry Reeb, American stand-up comedian; Troy Reeb (born 1969), Canadian journalist
is called the Reeb vector field, and it generates the geodesic flow of the Riemannian metric. More precisely, using the Riemannian metric, one can identify each point of the cotangent bundle of N with a point of the tangent bundle of N , and then the value of R at that point of the (unit) cotangent bundle is the corresponding (unit) vector ...
Millwork building materials include the ready-made carpentry elements usually installed in any building. Many of the specific features in a space are created using different types of architectural millwork: doors, windows, transoms, sidelights, molding, trim, stair parts, and cabinetry to name just a few.
Under certain conditions the Reeb local stability theorem may replace the Poincaré–Bendixson theorem in higher dimensions. [2] This is the case of codimension one, singular foliations ( M n , F ) {\displaystyle (M^{n},F)} , with n ≥ 3 {\displaystyle n\geq 3} , and some center-type singularity in S i n g ( F ) {\displaystyle Sing(F)} .
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 α {\displaystyle \alpha } , the Reeb vector field satisfies R ∈ k e r d α , α ( R ) = 1 {\displaystyle R\in \mathrm {ker} \ d ...
Georges Henri Reeb (12 November 1920 – 6 November 1993) was a French mathematician. He worked in differential topology , differential geometry , differential equations , topological dynamical systems theory and non-standard analysis .
In mathematics, Reeb sphere theorem, named after Georges Reeb, states that A closed oriented connected manifold M n that admits a singular foliation having only centers is homeomorphic to the sphere S n and the foliation has exactly two singularities.