154 research outputs found
Pseudo-parallel Lagrangian submanifolds are semi-parallel
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
Sequences of harmonic maps in the 3-sphere
We define two transforms between non-conformal harmonic maps from a surface
into the 3-sphere. With these transforms one can construct, from one such
harmonic map, a sequence of harmonic maps. We show that there is a
correspondence between non-conformal harmonic maps into the 3-sphere,
-surfaces in Euclidean 3-space and almost complex surfaces in the nearly
K\"ahler manifold . As a consequence we can construct sequences
of -surfaces and almost complex surfaces.Comment: 14 pages. Second version. The article has been extended and is
thoroughly revise
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