Lagrangian surfaces with Legendrian boundary In Memory of Professor Zhengguo Bai(1916-2015)

来源 :中国科学：数学（英文版） | 被引量 : 0次 | 上传用户：wang605631496

【摘要】

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【作者】

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Mingyan Li Guofang Wang Liangjun Weng

【机构】

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School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China;Mathematisches Inst

【出处】

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中国科学：数学（英文版）

【发表日期】

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2021年7期

【关键词】

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Lagrangian surface Legendrian capillary boundary Lagrangian catenoid contact ang

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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.

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Lagrangian surfaces with Legendrian boundary In Memory of Professor Zhengguo Bai(1916-2015)

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