Methods, systems, and devices for wireless communications are described. In some wireless communications systems, a user equipment (UE) and a network entity may utilize multi-port mobility reference signals to assist with spatial based mobility procedures. The UE may receive a reference signal that is associated with multiple antenna ports. The UE may measure a multi-dimensional channel response based on the reference signal. The multi-dimensional channel response may be associated with measured channel metrics corresponding to the multiple antenna ports. The UE may transmit a report that includes a channel measurement vector based on the multi-dimensional channel response. The channel measurement vector may indicate multiple measured channel metrics for one or more dimensions of the multi-dimensional channel response. The network entity may transmit a message that indicates one or more metrics associated with mobility management for the UE based on the report that indicates the channel measurement vector.