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A Liouville theorem on asymptotically Calabi spaces

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 نشر من قبل Ruobing Zhang
 تاريخ النشر 2020
  مجال البحث
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In this paper, we will study harmonic functions on the complete and incomplete spaces with nonnegative Ricci curvature which exhibit inhomogeneous collapsing behaviors at infinity. The main result states that any nonconstant harmonic function on such spaces yields a definite exponential growth rate which depends explicitly on the geometric data at infinity.



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