Holonomy rigidity for Ricci-flat metrics
Bernd Ammann, Klaus Kröncke, Hartmut Weiss, Frederik Witt

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Math. Z. 291 303-311 (2019), doi: 10.1007/s00209-018-2084-3


For a given compact Riemannian spin manifold with a parallel spinor we prove that the conjugacy class of its holonomy group remains constant under Ricci-flat deformation. As a corollary, we deduce that Ricci-flat metrics carrying a parallel spinor are smooth points in the premoduli space of Ricci-flat metrics.

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The Paper was written on 23.12.2015
Last update 1.12.2017