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Reconfigurable intelligent surface (RIS) has received widespread attention owing to the superiority of changing the wireless propagation environment intelligently. Channel feedback is essential in frequency division duplex (FDD) RIS-assisted wireless communications, since the downlink channel state information (CSI) needs to be acquired by the base station (BS) from the user equipment (UE) for the joint beamforming at the BS and the RIS. In this paper, we exploit the single-structured sparsity of RIS channel, which means that the sparse angular-domain channels of different users share the same structured sparsity only in the column dimension, but not in the row dimension. Based on this characteristic, we propose a dimension reduced channel feedback scheme with the low overhead. Specifically, the downlink CSI can be expressed with the structured information and unstructured information. The structured information of the multi-user channels can be fed back to the BS only by one user according to the single-structured sparsity, then the unstructured information can be fed back with a fairly low overhead by different users, respectively. Moreover, by utilizing the angle coherence time, the per-user overhead can be reduced further, while the near-optimal performance can still be guaranteed. Simulation results show that, the proposed scheme can reduce the channel feedback overhead by 80% compared to the conventional method.