Harmonic transforms of complete Riemannian manifolds


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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.

About the authors

S. E. Stepanov

Financial University under the Government of the Russian Federation

Author for correspondence.
Email: s.e.stepanov@mail.ru
Russian Federation, Moscow

I. I. Tsyganok

Financial University under the Government of the Russian Federation

Email: s.e.stepanov@mail.ru
Russian Federation, Moscow

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