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Noether Symmetries of the Area-Minimizing Lagrangian
It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an ( n − 1)‐area enclosing a constant n ‐volume in a Euclidean space is s o ( n )⊕ s ℝ n and in a space of constant curvature the Lie algebra is s o …