Abstract
Vanishing theorems for harmonic and infinitesimal harmonic transformations of complete Riemannian manifolds are proved. The proof uses well-known Liouville theorems on subharmonic functions on noncompact complete Riemannian manifolds.
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Original Russian Text © S. E. Stepanov, I. I. Tsyganok, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 3, pp. 441–449.
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Stepanov, S.E., Tsyganok, I.I. Harmonic transforms of complete Riemannian manifolds. Math Notes 100, 465–471 (2016). https://doi.org/10.1134/S0001434616090133
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DOI: https://doi.org/10.1134/S0001434616090133