21 oct 2014
Abstract.
For a minimal Legendrian submanifold $L$ of a Sasaki-Einstein manifold, we will prove that certain families of functions are eigenfunctions of the Laplacian of $L$ together with a lower bound for the multiplicity of the relative eigenvalue. If this lower bound is attained we prove that $L$ is totally geodesic and a rigidity result about the ambient manifold. This is a generalization of a result of Le-Wang for the standard Sasakian sphere. This is a joint work with S. Calamai.
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