Hessian surfaces and local Lagrangian embeddings

  • Qing Han

    Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, United States; Beijing International Center for Mathematical Research, Peking University, Beijing, 100871, China
  • Guofang Wang

    Albert-Ludwigs-Universität Freiburg, Mathematisches Institut, Eckerstr. 1, D-79104 Freiburg, Germany


In this paper we prove that any smooth surfaces can be locally isometrically embedded into as Lagrangian surfaces. As a byproduct we obtain that any smooth surfaces are Hessian surfaces.

Cite this article

Qing Han, Guofang Wang, Hessian surfaces and local Lagrangian embeddings. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 3, pp. 675–685

DOI 10.1016/J.ANIHPC.2017.07.003