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arXiv · 1912.05331

On product minimal Lagrangian submanifolds in complex space forms

Xiuxiu Cheng·Zejun Hu·Marilena Moruz·Luc Vrancken
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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.

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Xiuxiu Cheng, Zejun Hu, Marilena Moruz, Luc Vrancken. 2019-12-11. On product minimal Lagrangian submanifolds in complex space forms. https://doi.org/10.1007/s12220-019-00328-7

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