Abstract
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 Kahler manifolds. MSC 1991: 58G25, 53A10, 35P15 key words biharmonic, buckling eigenvalue, minimal Lagrangian submanifold
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