Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 106)
Stability of Complete Minimal Lagrangian Submanifold and L2 Harmonic 1-Forms
We show that a non-compact complete stable minimal Lagrangian submanifold L in a Kähler manifold with positive Ricci curvature has no non-trivial L 2 harmonic 1-forms, which gives a topological and conformal constraint on L.
KeywordsRiemannian Manifold Complete Riemannian Manifold Minimal Hypersurface Normal Deformation Hodge Theory
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