On compact Riemannian manifolds the Bourguignon Laplacian has finite-dimensional kernel of Codazzi tensors with constant trace; under nonnegative sectional curvature such tensors are parallel, and the paper gives eigenvalue lower bounds.
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The Bourguignon Laplacian and harmonic symmetric bilinear forms
On compact Riemannian manifolds the Bourguignon Laplacian has finite-dimensional kernel of Codazzi tensors with constant trace; under nonnegative sectional curvature such tensors are parallel, and the paper gives eigenvalue lower bounds.