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arXiv · 1910.05397

Lagrangian surfaces with Legendrian boundary

Mingyan Li·Guofang Wang·Liangjun Weng
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Abstract

In this note, 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 Nitsche (or Hopf) type theorem. Some problems are proposed at the end of this note.

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Mingyan Li, Guofang Wang, Liangjun Weng. 2019-10-11. Lagrangian surfaces with Legendrian boundary. https://doi.org/10.1007/s11425-020-1666-5

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