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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 1, Pages 206–217
DOI: https://doi.org/10.4213/tmf8646 (Mi tmf8646) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Real projective connections, V. I. Smirnov's approach, and black-hole-type solutions of the Liouville equation

L. A. Takhtadzhyanab

a Euler International Mathematical Institute, St. Petersburg, Russia
b Department of Mathematics, Stony Brook University, Stony Brook, NY, USA
Full-text PDF (481 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf8646
Abstract: We consider real projective connections on Riemann surfaces and their corresponding solutions of the Liouville equation. We show that these solutions have singularities of a special type (a black-hole type) on a finite number of simple analytic contours. We analyze the case of the Riemann sphere with four real punctures, considered in V. I. Smirnov's thesis (Petrograd, 1918) in detail.
Keywords: uniformization, Riemann surface, projective connection, Fuchsian projective connection, monodromy group, Liouville equation, Liouville action, singular solution.
Received: 21.01.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 1, Pages 1307–1316
DOI: https://doi.org/10.1007/s11232-014-0214-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. A. Takhtadzhyan, “Real projective connections, V. I. Smirnov's approach, and black-hole-type solutions of the Liouville equation”, TMF, 181:1 (2014), 206–217; Theoret. and Math. Phys., 181:1 (2014), 1307–1316
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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