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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2015, Volume 15, Issue 3, Pages 3–10
DOI: https://doi.org/10.17377/PAM.2015.15.301 (Mi vngu371) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Theorems of Liuville types in theory mappings of the complete Riemannian manifolds

I. A. Alexandrovaa, J. Mikešb, S. E. Stepanova, I. I. Tsyganoka

a Financial University under the Government of the Russian Federation, Moscow
b Palacký University Olomouc
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DOI: https://doi.org/10.17377/PAM.2015.15.301
Abstract: In the present paper we prove some vanishing theorems for projective and holomorphically projective diffeomorphisms of Riemannian and Kähler complete manifolds. We will use the well-known Liouville type theorems on harmonic, subharmonic and superharmonic functions on complete Riemannian manifolds for proofs of these theorems.
Keywords: complete Riemannian and Kähler manifolds, projective and holomorphically projective diffeomorphisms.
Received: 09.06.2015
English version:
Journal of Mathematical Sciences, 2017, Volume 221, Issue 6, Pages 737–744
DOI: https://doi.org/10.1007/s10958-017-3262-2
Document Type: Article
UDC: 514.764.25
Language: Russian
Citation: I. A. Alexandrova, J. Mikeš, S. E. Stepanov, I. I. Tsyganok, “Theorems of Liuville types in theory mappings of the complete Riemannian manifolds”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:3 (2015), 3–10; J. Math. Sci., 221:6 (2017), 737–744
Citation in format AMSBIB
\Bibitem{AleMikSte15}
\by I.~A.~Alexandrova, J.~Mike{\v s}, S.~E.~Stepanov, I.~I.~Tsyganok
\paper Theorems of Liuville types in theory mappings of the complete Riemannian manifolds
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2015
\vol 15
\issue 3
\pages 3--10
\mathnet{http://mi.mathnet.ru/vngu371}
\crossref{https://doi.org/10.17377/PAM.2015.15.301}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 221
\issue 6
\pages 737--744
\crossref{https://doi.org/10.1007/s10958-017-3262-2}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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