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2. Category:4-manifolds - Wikipedia

   en.wikipedia.org/wiki/Category:4-manifolds

   Pages in category "4-manifolds" The following 18 pages are in this category, out of 18 total. This list may not reflect recent changes. ...

3. 4-manifold - Wikipedia

   en.wikipedia.org/wiki/4-manifold

   The homotopy type of a simply connected compact 4-manifold only depends on the intersection form on the middle dimensional homology. A famous theorem of Michael Freedman () implies that the homeomorphism type of the manifold only depends on this intersection form, and on a / invariant called the Kirby–Siebenmann invariant, and moreover that every combination of unimodular form and Kirby ...

4. Lie group action - Wikipedia

   en.wikipedia.org/wiki/Lie_group_action

   Given a Lie group action of on , the orbit space / does not admit in general a manifold structure. However, if the action is free and proper, then M / G {\displaystyle M/G} has a unique smooth structure such that the projection M → M / G {\displaystyle M\to M/G} is a submersion (in fact, M → M / G {\displaystyle M\to M/G} is a principal G ...

5. Manifold (fluid mechanics) - Wikipedia

   en.wikipedia.org/wiki/Manifold_(fluid_mechanics)

   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 ...

6. Hyperbolic set - Wikipedia

   en.wikipedia.org/wiki/Hyperbolic_set

   Let M be a compact smooth manifold, f: M → M a diffeomorphism, and Df: TM → TM the differential of f.An f-invariant subset Λ of M is said to be hyperbolic, or to have a hyperbolic structure, if the restriction to Λ of the tangent bundle of M admits a splitting into a Whitney sum of two Df-invariant subbundles, called the stable bundle and the unstable bundle and denoted E s and E u.

7. Sydney Sweeney Goes Pantsless for Rare Date Night with Fiancé

   www.aol.com/sydney-sweeney-goes-pantsless-rare...

   Sweeney made the designer bag the centerpiece of her outfit, however, by committing to the maximalist bag charm trend.She decorated the $2,750 Miu Miu design with blue and pink lanyards, strings ...