Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606412 | Differential Geometry and its Applications | 2009 | 9 Pages |
Abstract
In this work we study pseudo-parallel Lagrangian submanifolds in a complex space form. We give several general properties of pseudo-parallel submanifolds. For the 2-dimensional case, we show that any minimal Lagrangian surface is pseudo-parallel. We also give examples of non-minimal pseudo-parallel Lagrangian surfaces. Here we prove a local classification of the pseudo-parallel Lagrangian surfaces. In particular, semi-parallel Lagrangian surfaces are totally geodesic or flat. Finally, we give examples of pseudo-parallel Lagrangian surfaces which are not semi-parallel.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pablo M. Chacón, Guillermo A. Lobos,