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Sharply estimating hyperbolic capacities

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arxiv 2502.13651 v1 pith:DSQMWX5H submitted 2025-02-19 math.DG math.AP

Xiaoshang Jin , Jie Xiao This is my paper · ORCID
classification math.DGmath.AP
keywords hyperboliccapacitarycapacitiesdetaileddevotedestablishingestimatingfour
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This paper is devoted to establishing four types of sharp capacitary inequalities within the hyperbolic space as detailed in Theorems 2.1-3.1-4.1-5.1.

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  1. Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below

    math.DG 2026-07 conditional novelty 7.0 of 10

    Sharp p-capacity comparison inequalities in terms of boundary mean curvature on manifolds with Ric ≥ -ng and Ric ≥ 0, with equality forcing warped-product rigidity, plus optimal normalization thresholds for scale-inva...

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