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Creators/Authors contains: "Sturm, Jacob"

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  1. ; ; ; (, Mathematische Zeitschrift)
    Free, publicly-accessible full text available November 1, 2025
  2. ; ; ; (, Communications on pure and applied mathematics)
    Diameter estimates for K\"ahler metrics are established which require only an entropy bound and no lower bound on the Ricci curvature. The proof builds on recent PDE techniques for $$L^\infty$$ estimates for the Monge-Amp\`ere equation, with a key improvement allowing degeneracies of the volume form of codimension strictly greater than one. As a consequence, diameter bounds are obtained for long-time existence of the K\"ahler-Ricci flow and finite-time solutions when the K\"ahler class is big, as well as for special vibrations of Calabi-Yau manifolds. 
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    Accepted Manuscript Full Text Available
  3. ; ; ; ; ; ; ; ; ; ; et al (, Notices of the American Mathematical Society)
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