%0 Journal Article %T Restricted Successive Minima %A Martin Henk %A Carsten Thiel %J Mathematics %D 2013 %I arXiv %X We give bounds on the successive minima of an $o$-symmetric convex body under the restriction that the lattice points realizing the successive minima are not contained in a collection of forbidden sublattices. Our investigations extend former results to forbidden full-dimensional lattices, to all successive minima and complement former results in the lower dimensional case. %U http://arxiv.org/abs/1302.1407v2