On the L2-cohomology of a convex cocompact hyperbolic manifold
Wang, Xiaodong
Duke Math. J., Tome 115 (2002) no. 1, p. 311-327 / Harvested from Project Euclid
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We prove a vanishing theorem for a convex cocompact hyperbolic manifold which relates its L2-cohomology and the Hausdorff dimension of its limit set. The borderline case is shown to characterize the manifold completely.
Publié le : 2002-11-01
Classification:  58J50,  53C20,  58A14 
@article{1085598144,
     author = {Wang, Xiaodong},
     title = {On the L<sup>2</sup>-cohomology of a convex cocompact hyperbolic manifold},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 311-327},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085598144}
}

Wang, Xiaodong. On the L2-cohomology of a convex cocompact hyperbolic manifold. Duke Math. J., Tome 115 (2002) no. 1, pp.  311-327. http://gdmltest.u-ga.fr/item/1085598144/