If you pull it taught while you do this it will get rid of any kinks and makes them a lot easier to hoover.
How to get a kink out of a rug.
This should fix your problem immediately.
I used to always trip over the rugs in my front room i have a runner over the carpet to the kitchen and one as you walk in.
Put a clean dry towel or two over the wrinkled rug then put the hot moist towel on top of that then lay something flat and fairly heavy over the whole shebang i usually pile on a few more.
Step 4 if your rug still won t lie flat apply some heat to it.
I cured this by using a staple gun the pile is so deep you cant see i have stapled the rugs down.
If the corners of the rug are curling curl them backward flatten them back out and place weights in just the corners of the rug.
Once we put the rug on top of the pad we walked over it a few times to make sure the two surfaces made a connection and that the rug was flat.
Use a drapery steamer.