Harmonic transforms of complete Riemannian manifolds
- Authors: Stepanov S.E.1, Tsyganok I.I.1
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Affiliations:
- Financial University under the Government of the Russian Federation
- Issue: Vol 100, No 3-4 (2016)
- Pages: 465-471
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149728
- DOI: https://doi.org/10.1134/S0001434616090133
- ID: 149728
Cite item
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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