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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 automotive engineering, an exhaust manifold collects the exhaust gases from multiple cylinders into one pipe.
In 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 to classify, as this is harder than solving the word problem for groups . [ 1 ]
Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric (an inner product on the tangent space at each point that varies smoothly from point to point). This gives, in particular, local notions of angle, length of curves, surface area and volume.
If the base manifold is an n-sphere , then by iterating this procedure over several vector bundles over one can plumb them together according to a tree [3] §8. If T {\displaystyle T} is a tree, we assign to each vertex a vector bundle ξ {\displaystyle \xi } over S n {\displaystyle S^{n}} and we plumb the corresponding disk bundles together if ...
Types of manifolds in engineering include: Exhaust manifold An engine part that collects the exhaust gases from multiple cylinders into one pipe. Also known as headers. Hydraulic manifold A component used to regulate fluid flow in a hydraulic system, thus controlling the transfer of power between actuators and pumps Inlet manifold (or "intake ...
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. [1] The word manifold comes from the Old English word manigfeald (from the Anglo-Saxon manig [many] and feald [repeatedly]) and refers to the multiplying of one (pipe) into many.
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Let M be a smooth manifold. A (smooth) singular k-simplex in M is defined as a smooth map from the standard simplex in R k to M. The group C k (M, Z) of singular k-chains on M is defined to be the free abelian group on the set of singular k-simplices in M. These groups, together with the boundary map, ∂, define a chain complex.