Smooth out leather wrinkles & conditioning question

[motifone]

Greetings.

I have a recliner and on the back, where the leather folds in on one side, it's somewhat wrinkly and bumpy. The other side of the chair is fairly flat and clean, so I know it can look better. I was never really happy with that and was hoping to make it look cleaner since the back is in plain view. I read that using a hairdryer can help tighten up leather. I think part of the reason it looks wrinkly is because of how the leather was glued down on the inside fold. Just wasn't very neat. I think if I use the hair dryer, the adhesive might actually soften and the leather might come free so I can flatten and reposition it. What kind of adhesive is typically used? After heating, if the adhesive does in fact separate, what adhesive would be safe to use to bond the pieces again if I need to reconnect them?

Also, the cleaning label advises to only wipe down this leather with a dry cloth, but I would love to occasionally be able to wipe it down with something lightly moist, and even condition it. I have a quality conditioner that I use for a pull up leather sofa. What concerns would there be using a conditioner on this leather? The chair was manufactured by H&M. Leather is top-grain, full-aniline-dyed

I do have a swatch of leather to experiment with.

Thanks for any input on my questions.