mathematics, a 5-manifold is a 5-dimensional topological manifold, possibly with a piecewise linear or smooth structure. Non-simply connected 5-manifolds are impossible...
4 KB (432 words) - 09:59, 11 June 2024
manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional manifold,...
68 KB (9,498 words) - 05:38, 16 July 2024
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow...
67 KB (9,495 words) - 02:22, 11 July 2024
In mathematics, a 4-manifold is a 4-dimensional topological manifold. A smooth 4-manifold is a 4-manifold with a smooth structure. In dimension four,...
15 KB (1,954 words) - 15:10, 3 August 2024
In mathematics, the Whitehead manifold is an open 3-manifold that is contractible, but not homeomorphic to R 3 . {\displaystyle \mathbb {R} ^{3}.} J. H...
6 KB (914 words) - 17:37, 6 September 2022
In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a...
33 KB (4,736 words) - 02:51, 10 August 2024
In mathematics, the Wu manifold is a 5-manifold defined as a quotient space of Lie groups appearing in the mathematical area of Lie theory. Due to its...
2 KB (345 words) - 19:26, 26 June 2024
mathematics. All manifolds are topological manifolds by definition. Other types of manifolds are formed by adding structure to a topological manifold (e.g. differentiable...
17 KB (2,041 words) - 19:00, 28 June 2024
geometry, a Hermitian manifold is the complex analogue of a Riemannian manifold. More precisely, a Hermitian manifold is a complex manifold with a smoothly...
10 KB (1,507 words) - 09:32, 5 June 2024
In differential geometry, a Riemannian manifold is a geometric space on which many geometric notions such as distance, angles, length, volume, and curvature...
59 KB (8,676 words) - 01:17, 20 August 2024
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 (5,836 words) - 09:37, 24 April 2024
Five-dimensional space (redirect from 5-space)
hypersurface is: V = 8 π 2 r 5 15 {\displaystyle V={\frac {8\pi ^{2}r^{5}}{15}}} 5-manifold Gravity Hypersphere List of regular 5-polytopes Four-dimensional...
15 KB (1,598 words) - 23:59, 8 June 2024
Manifold injection is a mixture formation system for internal combustion engines with external mixture formation. It is commonly used in engines with spark...
25 KB (3,220 words) - 13:07, 5 August 2024
Manifold Garden is a puzzle video game developed by American artist William Chyr. It was released on Windows, macOS, and iOS on October 18, 2019. The player...
20 KB (1,794 words) - 05:48, 21 December 2023
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) - 01:47, 27 May 2024
hyperbolic 3-manifolds, respectively. In these dimensions, they are important because most manifolds can be made into a hyperbolic manifold by a homeomorphism...
6 KB (680 words) - 02:46, 5 July 2023
MAP sensor (redirect from Manifold Absolute Pressure)
The manifold absolute pressure sensor (MAP sensor) is one of the sensors used in an internal combustion engine's electronic control system. Engines that...
7 KB (971 words) - 20:53, 17 December 2023
An inlet manifold or intake manifold (in American English) is the part of an internal combustion engine that supplies the fuel/air mixture to the cylinders...
17 KB (2,315 words) - 15:01, 4 February 2024
Riemannian manifold. Ricci-flat manifolds are a special kind of Einstein manifold. In theoretical physics, Ricci-flat Lorentzian manifolds are of fundamental...
15 KB (1,867 words) - 17:23, 25 March 2024
automotive engineering, an exhaust manifold collects the exhaust gases from multiple cylinders into one pipe. The word manifold comes from the Old English word...
11 KB (1,571 words) - 07:47, 12 June 2024
Chrysler Hemi engine (redirect from Dodge 5.7L Hemi)
utilizing a similar intake manifold to the 1956 341 Adventurer and a similar camshaft. The compression ratio remained at 9.5:1. Dodge's Hemi was introduced...
51 KB (6,333 words) - 13:52, 15 July 2024
mathematics, in the theory of several complex variables and complex manifolds, a Stein manifold is a complex submanifold of the vector space of n complex dimensions...
10 KB (1,475 words) - 18:03, 11 August 2024
In differential geometry, a Sasakian manifold (named after Shigeo Sasaki) is a contact manifold ( M , θ ) {\displaystyle (M,\theta )} equipped with a special...
5 KB (904 words) - 10:33, 4 June 2024
topology, a branch of mathematics, a Mazur manifold is a contractible, compact, smooth four-dimensional manifold-with-boundary which is not diffeomorphic...
6 KB (848 words) - 19:27, 9 May 2024
In mathematics, a Banach manifold is a manifold modeled on Banach spaces. Thus it is a topological space in which each point has a neighbourhood homeomorphic...
9 KB (1,441 words) - 15:36, 16 February 2024
In mathematics, a piecewise linear manifold (PL manifold) is a topological manifold together with a piecewise linear structure on it. Such a structure...
6 KB (749 words) - 03:56, 30 March 2024
Manifold, formerly known as Manifold Markets, is an online prediction market platform. Users engage in competitive forecasting using play money called...
6 KB (547 words) - 20:56, 27 July 2024
In mathematics, a closed manifold is a manifold without boundary that is compact. In comparison, an open manifold is a manifold without boundary that has...
4 KB (611 words) - 16:05, 11 June 2024
Nonlinear dimensionality reduction (redirect from Manifold learning)
known as manifold learning, is any of various related techniques that aim to project high-dimensional data onto lower-dimensional latent manifolds, with...
48 KB (6,075 words) - 11:32, 22 August 2024
almost complex manifold is a smooth manifold equipped with a smooth linear complex structure on each tangent space. Every complex manifold is an almost...
16 KB (2,384 words) - 23:55, 6 March 2024