Romy Marie Merkel

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math.DG2026

Gromov-Hausdorff instability of the positive mass theorem for Kähler manifolds

Romy Marie Merkel

We construct a sequence of AE Kähler metrics on $C^{2}$ with nonnegative and integrable scalar curvature whose ADM mass tends to zero but which, for a suitable choice of bas…

math.DG2024

Deformations of calibrated subbundles in noncompact manifolds of special holonomy via twisting by special sections

Romy Marie Merkel

We study special Lagrangian submanifolds in the Calabi-Yau manifold $T^{*} S^{n}$ with the Stenzel metric, as well as calibrated submanifolds in the $G_{2}$ -manifold $Λ_{-}^{2} (T^{*} X)$ …