English

On product minimal Lagrangian submanifolds in complex space forms

Differential Geometry 2019-12-12 v1

Abstract

In this paper we consider minimal Lagrangian submanifolds in nn-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.

Keywords

Cite

@article{arxiv.1912.05331,
  title  = {On product minimal Lagrangian submanifolds in complex space forms},
  author = {Xiuxiu Cheng and Zejun Hu and Marilena Moruz and Luc Vrancken},
  journal= {arXiv preprint arXiv:1912.05331},
  year   = {2019}
}
R2 v1 2026-06-23T12:42:44.249Z