So the dvd player actually says 'No Downmix' on the display? You didn't say how the player is connected to the receiver (analog 2 channel, digital or 5/6.1 analog input) or what kind of track was playing, so there are a number of possibilities.
1. Down-mixing usually refers to the process of folding N channels into 2, which it would do if you played a multi-channel recording but had the player connected via 2 analog cables.
2. Down sampling is the process of re-sampling from a higher sample rate, like 192 kHZ down to 48 kHz or lower - this setting is usually controlled by the PCM setting in the dvd player menu. Maybe it has just the one generic 'down'mix' message displayed for this case.
3. It could also be indicating that there is no down-mix info in the stream (for DD tracks) and it is therefore down-mixing on its own without following the meta-data that it is usually included with DD streams.
That's interesting. Does the manual give any hints?