I have beautiful leather living room furniture in a dark reddish brown color. It was expensive and (I thought) good quality. I'm very careful with it and use leather cleaning products regularly. My husband's recliner has patches where the leather is "crinkling" as opposed to cracking.
You can use shoe polish, make sure that it is buffed to the point that it does not come off. The better option is to Re-dye the leather with a 'leather re-dye kit' which can be found at
Or you can contact Fiebing (they carry Saddlery & Kelly's Shoe Care Products) at 1-800-558-1033 and order a shoe dye in the color you need - if you opt to use a shoe dye; you'll want to lightly dab the area to be dyed - let dry - condition with leather conditioner (I use Golden mink oil) then press & rub clean paper towels or old rags on the dyed area until they no longer show any dye residue.
I hope that helps
Please do not use shoe polish on your leather furniture as this will cause problems and may make the problem impossible to fix with professional products.
It sounds as though you have a two tone leather and the area where body oils have been in contact has removed the top colour.
Two tone leathers are not easy to fix with any DIY products and there may be an adhesion problem due to body oils so I would recommend getting someone professional to look at it for you, this will be much cheaper in the long run.