H-minimal Lagrangian fibrations in Kahler manifolds and minimal Lagrangian vanishing tori in Kahler-Einstein manifolds
Abstract
Description
H-minimal Lagrangian submanifolds in general Kähler manifolds generalize special Lagrangian submanifolds in Calabi-Yau manifolds. In this paper we will use the deformation theory of H-minimal Lagrangian submanifolds in Kähler manifolds to construct minimal Lagrangian torus in certain Kähler-Einstein manifolds with negative first Chern class.
13 pages. We find that the "harmonic Lagrangian" we introduced is equivalent to "H-minimal Lagangian" studied by Oh 10 years ago. Revisions are made accordingly. Some results are simplified and rearranged
13 pages. We find that the "harmonic Lagrangian" we introduced is equivalent to "H-minimal Lagangian" studied by Oh 10 years ago. Revisions are made accordingly. Some results are simplified and rearranged