We construct examples of hyperbolic rational homology spheres and hyperbolic knot complements in rational homology spheres containing closed embedded totally geodesic surfaces.
DeBlois, Jason  1
@article{10_2140_agt_2006_6_1413,
author = {DeBlois, Jason},
title = {Totally geodesic surfaces and homology},
journal = {Algebraic and Geometric Topology},
pages = {1413--1428},
year = {2006},
volume = {6},
number = {3},
doi = {10.2140/agt.2006.6.1413},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2006.6.1413/}
}
DeBlois, Jason. Totally geodesic surfaces and homology. Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1413-1428. doi: 10.2140/agt.2006.6.1413
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