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math.DG2026
Conformal structures and rigidity of complete stable minimal hypersurfaces
Jooyeon Park, Keomkyo Seo
We study complete stable minimal hypersurfaces in Riemannian manifolds under various curvature assumptions. In an -dimensional complete oriented manifold with nonnegative sc…
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…