Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian
classification
🧮 math.DG
keywords
eigenfunctionsharmonichyperboliclaplacianmanifoldsspacescharacterizedcharacterizing
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The space forms, the complex hyperbolic spaces and the quaternionic hyperbolic spaces are characterized as the harmonic manifolds with specific radial eigenfunctions of the Laplacian.
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