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<p>We derive monotone properties of positive harmonic functions on three dimensional manifolds with nonnegative scalar curvature, with an asymptotically flat end. Rigidity characterization of spatial Schwarzschild manifolds with two ends is also given.</p>

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Monotonicity of Harmonic Functions on 3-Manifolds with an Asymptotically Flat End

  • 期刊论文

  • 发表日期：

    2026年3月15日

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  • Pengzi Miao

摘要

We derive monotone properties of positive harmonic functions on three dimensional manifolds with nonnegative scalar curvature, with an asymptotically flat end. Rigidity characterization of spatial Schwarzschild manifolds with two ends is also given.