moment map
tool associated with a Hamiltonian action of a Lie group on a symplectic manifold, used to construct conserved quantities for the action, generalizing the classical notions of linear and angular momentum
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moment map
Summary
moment map ranks in the top 2% of general entities by monthly Wikipedia readership (44 views/month).[1]
Key Facts
- moment map's subclass of is recorded as mapping[2].
- moment map's Freebase ID is recorded as /m/09w584[3].
- moment map's defining formula is recorded as \mathrm d\langle\mu,\xi\rangle|x = \left(\left.\frac{\mathrm d}{\mathrm dt}\right|{t=0}\exp(t\xi)\cdot x\right) \mathbin\lrcorner\omega \qquad(\mu\colon M\to\mathfrak{lie}(G),\;x\in M,\;\xi\in\mathfrak{lie}(G),\;(\cdot)\colon G\times M\to M,\;\omega\in\Omega^2(M))[4].
- moment map's Mathematics Subject Classification ID is recorded as 53D20[5].
- moment map's nLab ID is recorded as moment map[6].
- moment map's maintained by WikiProject is recorded as WikiProject Mathematics[7].
- moment map's Microsoft Academic ID is recorded as 40265840[8].
- moment map's OpenAlex ID is recorded as C40265840[9].
Why It Matters
moment map ranks in the top 2% of general entities by monthly Wikipedia readership (44 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[10]