In mathematics, the Weeks manifold, sometimes called the Fomenko–Matveev–Weeks manifold, is a closed hyperbolic 3-manifold obtained by (5, 2) and (5, 1) Dehn surgeries on the Whitehead link. It has volume approximately equal to 0.942707… (OEIS: A126774) and David Gabai, Robert Meyerhoff, and Peter Milley (2009) showed that it has the smallest volume of any closed orientable hyperbolic 3-manifold. The manifold was independently discovered by Jeffrey Weeks (1985) as well as Sergei V. Matveev and Anatoly T. Fomenko (1988).
In mathematics, the Weeksmanifold, sometimes called the Fomenko–Matveev–Weeksmanifold, is a closed hyperbolic 3-manifold obtained by (5, 2) and (5, 1)...
Whitehead manifold Meyerhoff manifoldWeeksmanifold For more examples see 3-manifold. Complex projective plane Del Pezzo surface E8 manifold Enriques...
produce the sibling manifold of the complement of the figure-eight knot, and Dehn filling on both components can produce the Weeksmanifold, respectively one...
defined for any hyperbolic 3-manifold. The Weeksmanifold has the smallest possible volume of any closed manifold (a manifold that, unlike link complements...
Meyerhoff (1987) as a possible candidate for the hyperbolic 3-manifold of smallest volume, but the Weeksmanifold turned out to have slightly smaller volume. It has...
hyperbolization for 3-manifolds with genuine lamination, Smale conjecture for hyperbolic 3-manifolds, Marden's Tameness Conjecture, Weeksmanifold being the minimum...
The Leek and Manifold Valley Light Railway (L&MVLR) was a narrow gauge railway in Staffordshire, England that operated between 1904 and 1934. The line...
In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1 {\displaystyle n\geq 1} ...
"Manifold Destiny" is an article in The New Yorker written by Sylvia Nasar and David Gruber and published in the 28 August 2006 issue of the magazine....
Dark Horse trim level. Updates include: Revised 4 into 1 exhaust manifold Intake manifold with dual 80 mm throttle bodies The Dark Horse will also receive:...
the Courant Institute in New York University, where he began work on manifolds with lower bounds on Ricci curvature. From there, he accepted a two-year...
casing. The cylinder-head circuit heats the cabin's interior. The exhaust manifold is integrated into the cylinder head, enabling the engine to warm up more...
the turbocharger pressurises the intake air before it enters the inlet manifold. In the case of a turbocharger, the compressor is powered by the kinetic...
1007/BF02399203. S2CID 120354778. Weeks, Jeffrey R. (1985). The Shape of Space: how to visualize surfaces and three-dimensional manifolds. New York: Marcel Dekker...
of surface bundle over the circle, which in turn is a class of three-manifolds. To obtain a torus bundle: let f {\displaystyle f} be an orientation-preserving...
there is only one exhaust manifold. The S68 is the only current production V8 engine offered with a cross-pattern exhaust manifold for improved turbo charger...
Congruence (manifolds), in the theory of smooth manifolds, the set of integral curves defined by a nonvanishing vector field defined on the manifold Congruence...
differentiable manifold. A mathematical object that possesses all these properties, compact without boundary and differentiable, is termed a closed manifold. The...
a two-dimensional manifold on which one cannot define a normal vector at each point that varies continuously over the whole manifold. Other related non-orientable...