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Solutions of the Cheeger problem via torsion functions
the Cheeger problem torsion functions
2010/11/19
The Cheeger problem for a bounded domain $\Omega\subset\mathbb{R}^{N}$, $N>1$ consists in minimizing the quotients $|\partial E|/|E|$ among all smooth subdomains $E\subset\Omega$ and the Cheeger cons...
We extract an invariant taking values in N ∪ {∞}, which we call the order of algebraic torsion, from the Symplectic Field Theory of a closed contact manifold, and show that its finiteness gives obstru...