Given a three-dimensional Riemannian manifold with boundary and a finite group of orientation-preserving isometries of this manifold, we prove that the equivariant index of a free boundary minimal surface obtained via an equivariant min–max procedure á la Simon–Smith with n-parameters is bounded above by n.

中文翻译：

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最小–最大自由边界最小表面的等变指数界

给定一个具有边界的三维黎曼流形和该流形的有限组保方向等距，我们证明通过等变最小–最大过程（具有n参数的 Simon–Smith）获得的自由边界最小曲面的等变指数以上界为n。