no. 3
Hessian surfaces and local Lagrangian embeddings
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 3, pp. 675-685.

In this paper we prove that any smooth surfaces can be locally isometrically embedded into C2 as Lagrangian surfaces. As a byproduct we obtain that any smooth surfaces are Hessian surfaces.

DOI : 10.1016/j.anihpc.2017.07.003
Classification : 53C42, 35F50, 53A15
Mots clés : Hessian metric, Local embedding, Lagrangian surfaces, Gauss–Codazzi system 
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     title = {Hessian surfaces and local {Lagrangian} embeddings},
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Han, Qing; Wang, Guofang. Hessian surfaces and local Lagrangian embeddings. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 3, pp. 675-685. doi : 10.1016/j.anihpc.2017.07.003. http://www.numdam.org/articles/10.1016/j.anihpc.2017.07.003/

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