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Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces

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arxiv 1807.09367 v1 pith:KCKPXCOS submitted 2018-07-24 math.DG math.AG

Hans-Joachim Hein , Song Sun , Jeff Viaclovsky , Ruobing Zhang This is my paper · ORCID
classification math.DGmath.AG
keywords metricsintervalricci-flatsurfacesbubblescollapsecollapsingcontinuous
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We exhibit families of Ricci-flat Kahler metrics on K3 surfaces which collapse to an interval, with Tian-Yau and Taub-NUT metrics occurring as bubbles. There is a corresponding continuous surjective map from the K3 surface to the interval, with regular fibers diffeomorphic to either 3-tori or Heisenberg nilmanifolds.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Special Holonomy Manifolds, Domain Walls, Intersecting Branes and T-folds

    hep-th 2019-08 conditional novelty 6.0 of 10

    The Gibbons-Lu-Pope-Stelle special holonomy domain wall metrics are T-dual to intersecting brane systems, yielding new multi-function special holonomy metrics and T-fold backgrounds.

  2. Special Lagrangian submanifolds and circle collapse on K3

    math.DG 2026-06 unverdicted novelty 5.0 of 10

    Constructs degenerating special Lagrangian two-spheres and tori in collapsing K3 surfaces that lift from affine lines on a three-dimensional base, including connections between Taub-NUT bubbles.

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