2 papers
math.DG2026
On the Possible Orders of Harmonic Maps into Euclidean Buildings
Christine Breiner, Ben K. Dees
We prove a discreteness result for the possible orders of harmonic maps from surfaces to Euclidean buildings; in particular for a building of type the order is of the form $\fr…
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…