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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 279, Pages 218–228 (Mi znsl1463)  
Geometrisation of the mapping tori of Dehn twists on an infinite genus surfase

P. V. Svetlov

Herzen State Pedagogical University of Russia
Full-text PDF (190 kB)
Abstract: We study the conditions under which an infinite graph manifold $M$ carries a metric of nonpositive bounded curvature having finite volume. In the case where $M$ is the mapping torus of a collection of Dehn twists on an infinite genus surface and the graph of $M$ is linear (i.e., homeomorphic to a line or a ray) a complete list of all such manifolds is obtained.
Received: 22.12.2000
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 1, Pages 112–116
DOI: https://doi.org/10.1023/B:JOTH.0000008748.61212.9e
Bibliographic databases:
UDC: 514.76+515.162.3
Language: Russian
Citation: P. V. Svetlov, “Geometrisation of the mapping tori of Dehn twists on an infinite genus surfase”, Geometry and topology. Part 6, Zap. Nauchn. Sem. POMI, 279, POMI, St. Petersburg, 2001, 218–228; J. Math. Sci. (N. Y.), 119:1 (2004), 112–116
Citation in format AMSBIB
\Bibitem{Sve01}
\by P.~V.~Svetlov
\paper Geometrisation of the mapping tori of Dehn twists on an infinite genus surfase
\inbook Geometry and topology. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 279
\pages 218--228
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1463}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1846082}
\zmath{https://zbmath.org/?q=an:1070.57011}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 1
\pages 112--116
\crossref{https://doi.org/10.1023/B:JOTH.0000008748.61212.9e}
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