Biharmonic Capacity and the Stability of Minimal Lagrangian Submanifolds
نویسنده
چکیده
We study the eigenvalues of the biharmonic operators and the buckling eigenvalue on complete, open Riemannian manifolds. We show that the first eigenvalue of the biharmonic operator on a complete, parabolic Riemannian manifold is zero. We give a generalization of the buckling eigenvalue and give applications to studying the stability of minimal Lagrangian submanifolds in Kähler manifolds. MSC 1991: 58G25, 53A10, 35P15 key words biharmonic, buckling eigenvalue, minimal Lagrangian submanifold
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