English

Pseudo-parallel Lagrangian submanifolds are semi-parallel

Differential Geometry 2008-11-24 v1

Abstract

We prove a conjecture formulated by Pablo M. Chacon and Guillermo A. Lobos in [Pseudo-parallel Lagrangian submanifolds in complex space forms, Differential Geom. Appl.] stating that every Lagrangian pseudo-parallel submanifold of a complex space form of dimension at least 3 is semi-parallel.

Keywords

Cite

@article{arxiv.0811.3580,
  title  = {Pseudo-parallel Lagrangian submanifolds are semi-parallel},
  author = {F. Dillen and J. Van der Veken and L. Vrancken},
  journal= {arXiv preprint arXiv:0811.3580},
  year   = {2008}
}
R2 v1 2026-06-21T11:44:07.542Z