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math.DG2026
Weighted volume monotonicity and isoperimetric comparison under a lower Ricci curvature bound
Jiewon Park, Keomkyo Seo
We establish a weighted extension of the Bishop-Gromov volume comparison theorem for complete Riemannian manifolds with Ricci curvature bounded below. Given a point and positiv…
math.DG2026
Rigidity and volume pinching for the sharp gradient estimate in positive Ricci curvature
Junyoung Kim, Jiewon Park
Colding established a sharp gradient estimate for the Green function on manifolds with non-negative Ricci curvature, which was extended to positive Ricci curvature by Manea recentl…