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Journal Articles The Journal of Geometric Analysis Year : 2021

On Product Minimal Lagrangian Submanifolds in Complex Space Forms

Xiuxiu Cheng
  • Function : Author
Zejun Hu
  • Function : Author
Marilena Moruz
  • Function : Author

Abstract

In this paper we consider minimal Lagrangian submanifolds in n-dimensional complex space forms. More precisely, we study such submanifolds which, endowed with the induced metrics, write as a Riemannian product of two Riemannian manifolds, each having constant sectional curvature. As the main result, we give a complete classification of these submanifolds.

Dates and versions

hal-03722540 , version 1 (13-07-2022)

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Xiuxiu Cheng, Zejun Hu, Marilena Moruz, Luc Vrancken. On Product Minimal Lagrangian Submanifolds in Complex Space Forms. The Journal of Geometric Analysis, 2021, 31 (2), pp.1934-1964. ⟨10.1007/s12220-019-00328-7⟩. ⟨hal-03722540⟩
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