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contact manifold

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  • Contact geometry — Contact form redirects here. For a web email form, see Form (web)#Form to email scripts. The standard contact structure on R3. Each point in R3 has a plane associated to it by the contact structure, in this case as the kernel of the one form dz − …   Wikipedia

  • Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …   Wikipedia

  • Contact type — In mathematics, more precisely in symplectic geometry, a hypersurface Σ of a symplectic manifold (M,ω) is said to be of contact type if there is 1 form α such that j * (ω) = dα and (Σ,α) is a contact manifold, where is the natural inclusion. The… …   Wikipedia

  • manifold — [ manifɔld ] n. m. • 1930; mot angl., pour manifold paper ♦ Anglic. 1 ♦ Carnet comportant plusieurs séries de feuilles et de papier carbone. 2 ♦ (1960) Techn. Ensemble de vannes et de conduits orientant un fluide vers un réservoir ou des… …   Encyclopédie Universelle

  • Contact breaker — Breaker arm with contact points at the left. The pivot is on the right and the cam follower is in the middle of the breaker arm. A contact breaker (or points ) is a type of electrical switch, and the term typically refers to the switching device… …   Wikipedia

  • Sasakian manifold — In differential geometry, a Sasakian manifold is a contact manifold (M, heta) equipped with a special kind of Riemannian metric g, called a Sasakian metric.DefinitionA Sasakian metric is defined using the construction of the Riemannian cone .… …   Wikipedia

  • Relative contact homology — In mathematics, in the area of symplectic topology, relative contact homology is an invariant of spaces together with a chosen subspace. Namely, it is associated to a contact manifold and one of its Legendrian submanifolds. It is a part of a more …   Wikipedia

  • Symplectic manifold — In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2 form, ω, called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology.… …   Wikipedia

  • Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

  • Quaternion-Kähler manifold — In differential geometry, a quaternion Kähler manifold (or quaternionic Kähler manifold) is a Riemannian manifold whose Riemannian holonomy group is a subgroup of Sp( n )·Sp(1). Another, more explicit, definition, uses a 3 dimensional subbundle H …   Wikipedia

  • 3-manifold — In mathematics, a 3 manifold is a 3 dimensional manifold. The topological, piecewise linear, and smooth categories are all equivalent in three dimensions, so little distinction is usually made in whether we are dealing with say, topological 3… …   Wikipedia

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