I have these fine lines under my eyes just above cheek bone. (photo)

There are several great treatments for the fine lines under the eyes. Some of them may be related to sun damage, muscle movements and general decrease in collagen and elastin.I definitely recommend that you have thorough consultation with a doctor who specializes in non-surgical treatments as the treatments that you will likely need are non-surgical in nature.I hope that helps and best regards, Dr. Sapijaszko.

Dear Olivia, you may benefit from periodic chemical peels. Alternatively, you can try Nano Fat Fill. It can improve the quality of the underlying skin very well. 

Thanks for your question. Your would do well with some form of collagen induction procedure such as Ultherapy smoothing treatment (1.5mm transducer- series of 3) or medical microneedling with platelet rich plasma/PRP- the so called Vampire facial- series of 3 (more like 6 if done without PRP). These types of procedures stimulate natural, new collagen formation which will last far longer than botox. Botox in this region runs the risk of causing a puffy appearance ("Festoon") especially if done by an inexperienced injector and the result will be short lived.Best,Lisa Vuich, MD