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<p>For a minimal submanifold of the Euclidean space, we prove monotonicity formulas for its (weighted) volume within images of concentric balls under Möbius transformations.</p>

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Monotonicity formulas for minimal submanifolds involving Möbius transformations

  • 期刊论文

  • 发表日期：

    2026年5月25日

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  • Doanh Pham

摘要

For a minimal submanifold of the Euclidean space, we prove monotonicity formulas for its (weighted) volume within images of concentric balls under Möbius transformations.