We consider the application of a channel state information (CSI) based multi-user (MU) multiple input multiple output (MIMO) scheme to the downlink of 3GPP Long Term Evolution (LTE) cellular networks. For that purpose, we propose a novel feedback method for providing CSI to the base stations (BSs) based upon standard vector quantization techniques. Moreover, we introduce and compare different ways for additionally signaling information about the interference situation observed by a certain user equipment (UE) to its serving BS. Apart from the actual CSI itself, the interference information is essential for choosing appropriate precoders and particularly for facilitating an efficient link adaptation. The performance of the proposed scheme is thoroughly investigated for different parameter settings by means of extensive system-level simulations and it is shown that considerable performance gains can be obtained compared to standard LTE Release 8 networks, which support channel quality ...