The Residue of the Local Eta Function at the Origin.
Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian
On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant
The eta Invariant and ...O of Lens Spaces.
Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Correction to: Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Local invariants of a pseudo-Riemannian manifold.
The eta invariant and the equivariant unitary bordism of spherical space form groups
The eta invariant and metrics of positive scalar curvature.
Complex IP pseudo-Riemannian algebraic curvature tensors
The local index density of the perturbed de Rham complex
A perturbation of the de Rham complex was introduced by Witten for an exact 1-form and later extended by Novikov for a closed 1-form on a Riemannian manifold . We use invariance theory to show that the perturbed index density is independent of ; this result was established previously by J. A. Álvarez López, Y. A. Kordyukov and E. Leichtnam (2020) using other methods. We also show the higher order heat trace asymptotics of the perturbed de Rham complex exhibit nontrivial dependence on . We establish...
Generalized plane wave manifolds
Relating algebraic properties of the curvature tensor to geometry.
The Spectral Geometry of Reimannian Submersions
Applications of spectral geometry to affine and projective geometry.
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