摘要
In this paper,we first introduce a boundary problem for Lagrangian submanifolds,analogous to the problem for free boundary hypersurfaces and capillary hypersurfaces.Then we present several interesting examples of Lagrangian submanifolds satisfying this boundary condition and we prove a Lagrangian version of the Nitsche(or Hopf)type theorem.Some problems are proposed at the end of this paper.
基金
supported by SPP 2026:Geometry at Infinity of Deutsche Forschungsgemeinschaft.A part of this work was carried out when the second author visited the University of British Columbia。
