Geodesic
The Hodge--de Rham Laplacian and Tachibana operator on a~compact Riemannian
Izvestiya. Mathematics , Tome 79 (2015) no. 2, pp. 375-387

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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.
Keywords: Riemannian manifold, curvature operator, elliptic operators, eigenvalues and eigenforms, conformal Killing forms, harmonic forms. 
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     title = {The {Hodge--de} {Rham} {Laplacian} and {Tachibana} operator on a~compact {Riemannian}},
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S. E. Stepanov; J. Mikeš. The Hodge--de Rham Laplacian and Tachibana operator on a~compact Riemannian. Izvestiya. Mathematics , Tome 79 (2015) no. 2, pp. 375-387. http://geodesic.mathdoc.fr/item/IM2_2015_79_2_a6/