Go to content
UR Home

Holonomy rigidity for Ricci-flat metrics

Ammann, Bernd ; Kröncke, Klaus ; Weiss, Hartmut ; Witt, Frederik


On a closed connected oriented manifold M we study the space M-parallel to(M) of all Riemannian metrics which admit a non-zero parallel spinor on the universal covering. Such metrics are Ricci-flat, and all known Ricci-flat metrics are of this form. We show the following: The space M-parallel to(M) is a smooth submanifold of the space of all metrics and its premoduli space is a smooth ...


Owner only: item control page
  1. Homepage UR

University Library

Publication Server


Publishing: oa@ur.de
0941 943 -4239 or -69394

Dissertations: dissertationen@ur.de
0941 943 -3904

Research data: datahub@ur.de
0941 943 -5707

Contact persons