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Results tagged with sg.symplectic-geometry
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user 3709
Hamiltonian systems, symplectic flows, classical integrable systems
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answers
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Systematic way of finding balanced metrics
In several PDE involving metrics (like the Hermite-Einstein equation for vector bundles and the constant scalar curvature Kahler equation for manifolds) there is a notion along these lines - If a solu …
- 3,383
11
votes
What is a Futaki invariant, what is the intuition behind it, and why is it important?
The Futaki invariant $F(X,[\omega])$ is a quantity that needs two pieces of information on a compact complex manifold $M$.
1) A Kahler class $[\omega]$
2) A holomorphic vector field $X$.
It is an …
- 3,383