Geodesic
A~New Strong Laplacian on Differential Forms
Matematičeskie zametki, Tome 76 (2004) no. 3, pp. 452-458.

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We construct a strong Laplacian $D^*D$ by using the third operator in the basis $\{d,d^*,D\}$ of the space of natural first-order operators acting on the differential forms of a Riemannian manifold $(M,g)$. We study the properties of the Laplacian $D^*D$ and obtain Weitzenbock's formula relating the three strong Laplacians $dd^*$, $d^*d$, and $D^*D$ to the curvature of the manifold $(M,g)$. 
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     title = {A~New {Strong} {Laplacian} on {Differential} {Forms}},
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S. E. Stepanov. A~New Strong Laplacian on Differential Forms. Matematičeskie zametki, Tome 76 (2004) no. 3, pp. 452-458. http://geodesic.mathdoc.fr/item/MZM_2004_76_3_a13/

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