Geodesic
Harmonic and conformally Killing forms on complete Riemannian manifold
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2017), pp. 51-57.

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We present a classification of complete locally irreducible Riemannian manifolds with nonnegative curvature operator, which admit a nonzero and nondecomposable harmonic form with its square-integrable norm. We prove a vanishing theorem for harmonic forms on complete generic Riemannian manifolds with nonnegative curvature operator. We obtain similar results for closed and co-closed conformal Killing forms.
Keywords: complete Riemannian manifold, curvature operator, harmonic forms, conformal Killing forms, classification theorem, vanishing theorem. 
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S. E. Stepanov; I. I. Tsyganok; T. V. Dmitrieva. Harmonic and conformally Killing forms on complete Riemannian manifold. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2017), pp. 51-57. http://geodesic.mathdoc.fr/item/IVM_2017_3_a4/

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