Geodesic
Geometrisation of the mapping tori of Dehn twists on an infinite genus surfase
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 6, Tome 279 (2001), pp. 218-228 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{ZNSL_2001_279_a13,
     author = {P. V. Svetlov},
     title = {Geometrisation of the mapping tori of {Dehn} twists on an infinite genus surfase},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {218--228},
     year = {2001},
     volume = {279},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a13/}
}
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P. V. Svetlov. Geometrisation of the mapping tori of Dehn twists on an infinite genus surfase. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 6, Tome 279 (2001), pp. 218-228. http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a13/