Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics by Collins, Tristan C, Yau, Shing-Tung

“…As an application of our techniques we give a simplified proof of Chen’s theorem on the existence of $$C^{1,\alpha }$$ C 1 , α geodesics in the space of Kähler metrics. In two follow up papers, these results will be used to examine algebraic obstructions to the existence of solutions to dHYM [26] and special Lagrangians in Landau–Ginzburg models [27].…”
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