• 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)...
    5 KB (628 words) - 15:47, 28 May 2025
  • Whitehead manifold Meyerhoff manifold Weeks manifold For more examples see 3-manifold. Complex projective plane Del Pezzo surface E8 manifold Enriques...
    4 KB (287 words) - 19:11, 15 September 2022
  • Thumbnail for 3-manifold
    In mathematics, a 3-manifold is a topological space that locally looks like a three-dimensional Euclidean space. A 3-manifold can be thought of as a possible...
    45 KB (5,821 words) - 09:01, 24 May 2025
  • Weeks' research contributions have mainly been in the field of 3-manifolds and physical cosmology. The Weeks manifold, discovered in 1985 by Weeks, is...
    4 KB (387 words) - 16:39, 29 April 2025
  • arithmetic hyperbolic manifold. The Weeks manifold is the hyperbolic three-manifold of smallest volume and the Meyerhoff manifold is the one of next smallest...
    12 KB (1,719 words) - 20:20, 30 November 2024
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    Weeks manifold. Other examples are given by the Seifert–Weber space, or "sufficiently complicated" Dehn surgeries on links, or most Haken manifolds....
    32 KB (4,062 words) - 14:43, 12 January 2025
  • Thumbnail for Whitehead link
    produce the sibling manifold of the complement of the figure-eight knot, and Dehn filling on both components can produce the Weeks manifold, respectively one...
    6 KB (731 words) - 15:56, 16 April 2025
  • Meyerhoff (1987) as a possible candidate for the hyperbolic 3-manifold of smallest volume, but the Weeks manifold turned out to have slightly smaller volume. It has...
    2 KB (311 words) - 08:45, 12 August 2023
  • Thumbnail for Hyperbolic volume
    defined for any hyperbolic 3-manifold. The Weeks manifold has the smallest possible volume of any closed manifold (a manifold that, unlike link complements...
    7 KB (660 words) - 13:18, 27 August 2024
  • entirety of their four-week work rotation. During a deployment, Lemons and Yuasa exit the bell to begin work on an undersea gas line manifold, while Allcock remains...
    15 KB (1,591 words) - 19:09, 30 May 2025
  • precisely in topology and differential geometry, a hyperbolic 3-manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian...
    16 KB (2,217 words) - 15:58, 22 June 2024
  • Thumbnail for SnapPea
    SnapPea (category 3-manifolds)
    particular low-dimensional topologists, study hyperbolic 3-manifolds. The primary developer is Jeffrey Weeks, who created the first version as part of his doctoral...
    7 KB (831 words) - 00:44, 17 February 2025
  • Thumbnail for Surface (topology)
    of mathematics referred to as topology, a surface is a two-dimensional manifold. Some surfaces arise as the boundaries of three-dimensional solid figures;...
    32 KB (4,171 words) - 04:39, 1 March 2025
  • Torus bundle (category 3-manifolds)
    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...
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    Klein bottle (category Manifolds)
    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...
    20 KB (2,862 words) - 20:52, 21 May 2025
  • Gauss–Bonnet theorem (for 2-dimensional manifolds / surfaces) to higher even-dimensional Riemannian manifolds. In 1943, Carl B. Allendoerfer and André...
    13 KB (1,853 words) - 06:30, 27 May 2025
  • Homology sphere (category 3-manifolds)
    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} ...
    11 KB (1,529 words) - 07:54, 7 February 2025
  • Seifert–Weber space (category 3-manifolds)
    (introduced by Herbert Seifert and Constantin Weber) is a closed hyperbolic 3-manifold. It is also known as Seifert–Weber dodecahedral space and hyperbolic dodecahedral...
    4 KB (462 words) - 13:37, 29 October 2024
  • Thumbnail for Leek and Manifold Valley Light Railway
    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...
    21 KB (2,706 words) - 13:16, 24 May 2025
  • Thumbnail for Ford Modular engine
    Dark Horse trim level. Updates include: Revised 4 into 1 exhaust manifold Intake manifold with dual 80 mm throttle bodies The Dark Horse also received: Revised...
    89 KB (8,351 words) - 07:49, 22 May 2025
  • Thumbnail for William Thurston
    awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds. Thurston was a professor of mathematics at Princeton University, University...
    23 KB (2,209 words) - 15:08, 12 May 2025
  • "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....
    19 KB (2,480 words) - 03:58, 21 December 2024
  • Thumbnail for List of Volkswagen Group petrol engines
    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...
    132 KB (15,983 words) - 16:19, 25 April 2025
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    Ricci flow (category 3-manifolds)
    1007/BF02399203. S2CID 120354778. Weeks, Jeffrey R. (1985). The Shape of Space: how to visualize surfaces and three-dimensional manifolds. New York: Marcel Dekker...
    57 KB (8,364 words) - 01:12, 20 April 2025
  • Thumbnail for Grigori Perelman
    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...
    65 KB (6,324 words) - 10:19, 6 May 2025
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    3-torus (category 3-manifolds)
    product of only two circles. The 3-torus is a three-dimensional compact manifold with no boundary. It can be obtained by "gluing" the three pairs of opposite...
    2 KB (238 words) - 07:13, 1 April 2025
  • Thumbnail for Iran
    like Kilim, Soumak, and embroidered tissues like Suzani are part of the manifold tradition of Persian carpet weaving. Iran produces three-quarters of the...
    413 KB (34,609 words) - 19:50, 2 June 2025
  • the most well known Junkion. He is made of rusted scraps, chassis bits, manifold parts, and dented odd and ends. A little scatterbrained, he speaks in odd-rhyming...
    394 KB (4,283 words) - 06:30, 11 May 2025
  • Cox–Zucker machine (category Complex manifolds)
    Zucker in Notices of the American Mathematical Society in 2021: "A few weeks after we met, we realized that we had to write a joint paper because the...
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  • Fest 2013. The online release of Manifold was a Vimeo staff pick, and was named "Short of the Week" at ShortoftheWeek.com in January 2014. In November...
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