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For questions about minimal surfaces in the sense of Riemannian geometry (as opposed to complex geometry).

17 votes
3 answers
2k views

Do minimal submanifolds minimize area locally?

A few days ago I asked this question on math.stackexchange: Consider $(\tilde{M},g)$ a riemannian manifold and $M \subset \tilde{M}$ riemannian submanifold. Is it true that if $M$ is a minimal subma …