H-minimal Lagrangian fibrations in Kahler manifolds and minimal Lagrangian vanishing tori in Kahler-Einstein manifolds

Details H-minimal Lagrangian fibrations in Kahler manifolds and minimal Lagrangian vanishing tori in Kahler-Einstein manifolds H-minimal Lagrangian fibrations in Kahler manifolds and minimal Lagrangian vanishing tori in Kahler-Einstein manifolds

2003-09-10

arxiv.org/abs/math/0309177v2

Mathematics

Differential Geometry

13 pages. We find that the "harmonic Lagrangian" we introduced is equivalent to "H-minimal Lagangian" studied by Oh 10 years a

Scientific paper

H-minimal Lagrangian submanifolds in general K\"{a}hler manifolds generalize
special Lagrangian submanifolds in Calabi-Yau manifolds. In this paper we will
use the deformation theory of H-minimal Lagrangian submanifolds in K\"{a}hler
manifolds to construct minimal Lagrangian torus in certain K\"{a}hler-Einstein
manifolds with negative first Chern class.

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