Pseudo-parallel Lagrangian submanifolds are semi-parallel

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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.

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