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math.DG2019
Harmonic maps with free boundary from degenerating bordered Riemann surfaces
Lei Liu, Chong Song, Miaomiao Zhu
We study the blow-up analysis and qualitative behavior for a sequence of harmonic maps with free boundary from degenerating bordered Riemann surfaces with uniformly bounded energy.…
math.DG2019
Global existence of the harmonic map heat flow into Lorentzian manifolds
Xiaoli Han, Juergen Jost, Lei Liu +1
We investigate a parabolic-elliptic system for maps from a compact Riemann surface into a Lorentzian manifold with a warped product metric. That s…