symplectic

Speech parts

1. symplectic - Noun

2. symplectic - Adjective

Meaning

Plaiting or joining together; -- said of a bone next above the quadrate in the mandibular suspensorium of many fishes, which unites together the other bones of the suspensorium.

The symplectic bone.

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Phrases with the word

Examples

An almost symplectic manifold is a differentiable manifold equipped with a smoothly varying non-degenerate skew-symmetric bilinear form on each tangent space, i.e., a nondegenerate 2- form ω, called the symplectic form. Source: Internet

Ben Webster: What is a symplectic manifold, really? Source: Internet

By contrast with Riemannian geometry, where the curvature provides a local invariant of Riemannian manifolds, Darboux's theorem states that all symplectic manifolds are locally isomorphic. Source: Internet

Differential topology Differential topology is the study of (global) geometric invariants without a metric or symplectic form. Source: Internet

Great Russian Encyclopedia (2005), Moscow : Bol'shaya Rossiyskaya Enciklopediya Publisher, vol. 2. Arnold can be said to have initiated the theory of symplectic topology as a distinct discipline. Source: Internet

In dimension 2, a symplectic manifold is just a surface endowed with an area form and a symplectomorphism is an area-preserving diffeomorphism. Source: Internet

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