Abstract
In the present article we consider the generalized Bochner technique that is a natural development of the classical Bochner technique. As an illustration, we prove some Liouville-type theorems for Killing and Killing–Yano tensors, as well as for projective and conformal mappings of complete Riemannian manifolds, using the \(L^{q}\)-Liouville theorems for subharmonic and superharmonic functions.
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The work of the first author was supported by the Internal Grant Agency of the Faculty of Science of Palacky University, Olomouc (grant no. 2022017 ‘‘Mathematical Structures").
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Stepanov, S.E., Mikeš, J. What is the Bochner Technique and Where is it Applied. Lobachevskii J Math 43, 709–719 (2022). https://doi.org/10.1134/S1995080222060312
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DOI: https://doi.org/10.1134/S1995080222060312