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Conformally Flat Minimal Lagrangian Submanifolds in Complex Space Forms With Parallel Ricci Tensor

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  • Hongru Song
  • Ruixin Wang
  • Cheng Xing

Abstract

In this paper, we focus on the open problem of classifying n$n$‐dimensional conformally flat minimal Lagrangian submanifolds in complex space forms for n≥3$n\ge 3$, motivated by the classification of minimal Lagrangian submanifolds with constant sectional curvature. As the main result, we completely solve the problem by assuming that the Ricci tensor is parallel, with respect to the Levi–Civita connection, which is introduced as a natural extension of the Einstein condition.

Suggested Citation

  • Hongru Song & Ruixin Wang & Cheng Xing, 2026. "Conformally Flat Minimal Lagrangian Submanifolds in Complex Space Forms With Parallel Ricci Tensor," Mathematische Nachrichten, Wiley Blackwell, vol. 299(5), pages 1182-1196, May.
    • Handle: RePEc:bla:mathna:v:299:y:2026:i:5:p:1182-1196
    DOI: 10.1002/mana.70133
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