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Matematicheskie Zametki, 2016, Volume 100, Issue 3, Pages 441–449
DOI: https://doi.org/10.4213/mzm10885 (Mi mzm10885) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Harmonic Transforms of Complete Riemannian Manifolds

S. E. Stepanov, I. I. Tsyganok

Financial University under the Government of the Russian Federation, Moscow
Full-text PDF (484 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10885
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.
Keywords: polar Riemannian manifold, harmonic transformation, Ricci solitons, vanishing theorems.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00053-а
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00053-a.
Received: 30.07.2015
Revised: 14.02.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 3, Pages 465–471
DOI: https://doi.org/10.1134/S0001434616090133
Bibliographic databases:
Document Type: Article
UDC: 514.765.25+514.764.216
Language: Russian
Citation: S. E. Stepanov, I. I. Tsyganok, “Harmonic Transforms of Complete Riemannian Manifolds”, Mat. Zametki, 100:3 (2016), 441–449; Math. Notes, 100:3 (2016), 465–471
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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