Email this article Liouville Type Theorems in the Theory of Mappings of Complete Riemannian Manifolds
- Authors: Aleksandrova I.A.1, Mikeš J.2, Stepanov S.E.1, Tsyganok I.I.1
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Affiliations:
- Financial University under the Government of the Russian Federation
- Palack´y University Olomouc
- Issue: Vol 221, No 6 (2017)
- Pages: 737-744
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239088
- DOI: https://doi.org/10.1007/s10958-017-3262-2
- ID: 239088
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Abstract
We prove vanishing theorems for projective and holomorphically projective diffeomorphisms of Riemannian and Kähler complete manifolds. In the proof, we use the wellknown Liouville type theorems on harmonic, subharmonic and superharmonic functions on complete Riemannian manifolds. Bibliography: 31 titles.
About the authors
I. A. Aleksandrova
Financial University under the Government of the Russian Federation
Author for correspondence.
Email: iralex_65@mail.ru
Russian Federation, 49, Leningradsky pr., Moscow, 125993
J. Mikeš
Palack´y University Olomouc
Email: iralex_65@mail.ru
Czech Republic, 17, Listopadu 12, Olomouc, 77146
S. E. Stepanov
Financial University under the Government of the Russian Federation
Email: iralex_65@mail.ru
Russian Federation, 49, Leningradsky pr., Moscow, 125993
I. I. Tsyganok
Financial University under the Government of the Russian Federation
Email: iralex_65@mail.ru
Russian Federation, 49, Leningradsky pr., Moscow, 125993
