infl12, your photo is not too helpful but you may have a malar bag. These present in the 3rd to 4th de4cade as subtle swelling inferior and lateral to the lower lid. The tendency runs in families. They are due to interstitial edema and not excess fat or muscle. I have performed a "SOOF lift blepharoplasty" in patients with these conditions with good results. Fillers to mask the swelling may help. Ablative resurfacing can be beneficial. See 2-3 facial plastic specialists and get their opinion. Hope this helps!
Better photos are needed but the indentations to which you refer appear to be creases caused by malar bags. These are difficult facial problems to treat as it is really chronic swelling/lymphedema of the tissues. Direct under the skin cauterization through a lower eyelid approach to shrink the swelling and very small cheek implants or fat injections underneath may be helpful.
What can I really do with these indentation marks on my face?
You have something called malar bags. You can not completely resolve this issue, as it chronic swelling with a build up of connective tissue within the bag. You can address a bit, but I would need to see a full view of your face: front and side view; not smiling. The options could be filler to fill in the indentation; possibly a bit of microliposuction below the bags to reduce that difference; possibly cheek implants...but without complete photos, it is hard to say.