Nodal sets and negative eigenvalues in conformal geometry
We study zero and negative eigenvalues of the conformal Laplacian, and some conformal invariants that arise from nodal sets of the corresponding eigenfunctions. We discuss applications to certain curvature prescription problems.
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Abstract: We study zero and negative eigenvalues of the conformal Laplacian, and some conformal invariants that arise from nodal sets of the corresponding eigenfunctions. We discuss applications to certain curvature prescription problems.
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