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Minimal surfaces and the new main inequality

Minimal surfaces and the new main inequality

We establish the new main inequality as a minimizing criterion for minimal maps into products of \(\mathbb{R}\)-trees, and the infinitesimal new main inequality as a stability criterion for minimal maps to \(\mathbb{R}^n\). Along the way, we develop a new perspective on destabilizing minimal surfaces in \(\mathbb{R}^n\), and as a consequence …