Associated with isoparametric foliations of unit spheres, there are two classes of minimal surfaces $-$ minimal isoparametric hypersurfaces and focal submanifolds. By virtue of their rich structures, we find new series of minimizing cones. They are cones over focal submanifolds and cones over suitable products among these two classes. Except in low dimensions, all such cones are shown minimizing.

中文翻译：

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最小化与等参叶理相关的锥体

与单位球体的等参叶理相关联，有两类最小曲面$-$ 最小等参超曲面和焦点子流形。凭借其丰富的结构，我们发现了新的最小化锥体系列。它们是焦点子流形上的锥体和这两类中合适产品的锥体。除了低维，所有这些锥体都显示为最小化。