The Hodge--de Rham Laplacian and Tachibana operator on a~compact Riemannian

S. E. Stepanov ; J. Mikeš

Izvestiya. Mathematics , Tome 79 (2015) no. 2, pp. 375-387.

Résumé

We give a comparative analysis of the spectral properties of the Hodge–de Rham and Tachibana operators on compact Riemannian manifolds whose curvature operator is bounded and has a definite sign. We find bounds for their spectra and estimate their multiplicities.

Détail

Keywords: Riemannian manifold, curvature operator, elliptic operators, eigenvalues and eigenforms, conformal Killing forms, harmonic forms.

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