Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 6, Tome 279 (2001), pp. 218-228
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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/
@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/}
}
TY - JOUR
AU - P. V. Svetlov
TI - Geometrisation of the mapping tori of Dehn twists on an infinite genus surfase
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 218
EP - 228
VL - 279
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a13/
LA - ru
ID - ZNSL_2001_279_a13
ER -
%0 Journal Article
%A P. V. Svetlov
%T Geometrisation of the mapping tori of Dehn twists on an infinite genus surfase
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 218-228
%V 279
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a13/
%G ru
%F ZNSL_2001_279_a13
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.
