H-minimal Lagrangian fibrations in Kahler manifolds and minimal Lagrangian vanishing tori in Kahler-Einstein manifolds
Abstract
H-minimal Lagrangian submanifolds in general K\"ahler 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\"ahler manifolds to construct minimal Lagrangian torus in certain K\"ahler-Einstein manifolds with negative first Chern class.
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