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math.DG2025
Quantitative Rigidity Using Colding's Monotonicity Formulas for Ricci Curvature
Christine Breiner, Jiewon Park
In \cite{Colding}, Colding proved monotonicity formulas for the Green function on manifolds with nonnegative Ricci curvature. Inspired by the sharp estimates relating the pinching…
math.DG2025
Rectifiability of the singular strata for harmonic maps to Euclidean buildings
Christine Breiner, Ben K. Dees
We define a natural notion of the singular strata for harmonic maps into -connected complexes (which include locally finite Euclidean buildings), and prove the rectifiability of…