EIGENVALUE MULTIPLICITES OF THE HODGE LAPLACIAN ON COEXACT 2-FORMS FOR GENERIC METRICS ON 5-MANIFOLDS
In 1976, Uhlenbeck used transversality theory to show that for certain families of elliptic operators, the property of having only simple eigenvalues is generic. As one application, she proved that on a closed Riemannian manifold, the eigenvalues of the Laplace-Beltrami operator Δg are all simple fo...
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| Format: | Others |
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UKnowledge
2014
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| Online Access: | http://uknowledge.uky.edu/math_etds/14 http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1014&context=math_etds |