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This is a list of particular manifolds, by Wikipedia page. See also list of geometric topology topics. For categorical listings see Category:Manifolds and its subcategories.

Nov 30, 2016 · Genus is only really defined for a 2-Manifold. The wikipedia article you are looking at extends this definition to a small class of 3 manifolds called handlebodies. These are "filled …

In mathematics, specifically geometry and topology, the classification of manifolds is a basic question, about which much is known, and many open questions remain. Low-dimensional …

* Cobordism: Two closed 2-manifolds are cobordant iff they both have even or odd Euler characteristic; Thus, there are 2 cobordism classes. * Differentiable structure : Any closed 2 …

Jun 6, 2020 · In mathematics, manifolds arose first of all as sets of solutions of non-degenerate systems of equations and also as various sets of geometric and other objects allowing local …

Two-Valve Manifold: Commonly used in pressure measurement, featuring an isolation valve and a vent valve. Three-Valve Manifold: Often paired with differential pressure transmitters, …

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow one to apply calculus. Any manifold can be …

Jun 6, 2020 · It is the class of manifolds which are easiest to visualize; it includes the sphere, the disc, the Möbius strip, the projective plane, the Klein bottle, etc. Points with only …

An exhaust manifold or header collects the exhaust gases from multiple cylinders into one pipe. The word manifold comes from the Old English word manigfeald (from the Anglo-Saxon manig …

Diagram of an exhaust manifold from a Kia Rio. 1. manifold; 2. gasket; 3. nut; 4. heat shield; 5. heat shield bolt Ceramic-coated exhaust manifold on the side of a performance car. In …

Apr 11, 2014 · There are many different notions of manifold, with more or less structure, and corresponding notions of “map between manifolds”, each of which yields a different category …

The term "manifold" comes from German Mannigfaltigkeit, by Bernhard Riemann. In English, "manifold" refers to spaces with a differentiable or topological structure, while "variety" refers to …

In differential geometry, a G 2 manifold or Joyce manifold is a seven-dimensional Riemannian manifold with holonomy group contained in G 2. The group is one of the five exceptional …

The manifold hypothesis is related to the effectiveness of nonlinear dimensionality reduction techniques in machine learning. Many techniques of dimensional reduction make the …

For k = 1, the Grassmannian Gr(1, n) is the space of lines through the origin in n-space, so it is the same as the projective space of n − 1 dimensions.. For k = 2, the Grassmannian is the space …

Let stand for ,, or . The Stiefel manifold () can be thought of as a set of n × k matrices by writing a k-frame as a matrix of k column vectors in . The orthonormality condition is expressed by A*A …