JournalsprimsVol. 43 , No. 1DOI 10.2977/prims/1199403813

On the Displacement Rigidity of Levi Flat Hypersurfaces—The Case of Boundaries of Disc Bundles Over Compact Riemann Surfaces

  • Klas Diederich

    Universität Wuppertal, Germany
  • Takeo Ohsawa

    Nagoya University, Nagoya, Chikusa-Ku, Japan
On the Displacement Rigidity of Levi Flat Hypersurfaces—The Case of Boundaries of Disc Bundles Over Compact Riemann Surfaces cover

Abstract

Non-existence theorems for Levi flat hypersurfaces have found great interest in the literature. The question next to this that has to be asked is, when existing Levi flat hypersurfaces are at least rigid under deformations. Here, the case of boundaries of disc bundles over certain compact Riemann surfaces is considered.