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7 votes
0 answers
501 views

intuitive connection between The KdV equations and the Virasoro bott group

I posted this on stack exchange but had no joy, perhaps someone here can answer : The Euler Arnold equation expresses equations (usually from mathematical physics) as geodesic equations on a Lie group....
R Mary's user avatar
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4 votes
0 answers
504 views

Local version of a slice (for a Lie group action)

Let $\Upsilon: G \times M \to M$ be a smooth action of a Lie group $G$ on a manifold $M$. Isenberg and Marsden (1982) define a slice at $m \in M$ as a submanifold $S \subseteq M$ containing $m$ such ...
Tobias Diez's user avatar
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2 votes
0 answers
49 views

Lie group and symmetry concept for weak notions of surfaces

I am studying measure-theoretic and functional analytic notions of surfaces such as varifolds and, since my background comes from physics I am wondering whether there is a simiar concept such as Lie ...
Porcupine's user avatar
1 vote
0 answers
324 views

Solving $T^2 = -\kappa\, \mathrm{Tr}\, (\log(e^{i T \hat{H}_0} \hat{O}) )^2$ equation

Is there a way to solve the equation: $T^2 = -\kappa\, \mathrm{Tr}\, (\log(e^{i T \hat{H}_0} \hat{O}) )^2$ for $T$? Here $\kappa$ is an arbitrary positive constant, $\hat{H}_0 \in \mathfrak{su}(N)$ ...
Benjamin's user avatar
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