The yogic sciences is simply a means consisting of 8 comprehensive limbs filled with methodologies and skillful techniques in an effort to allow space for union from that which one was never separated to begin with, no doubt understanding the minds filter ego is useful, athletes often have tremendous egos but little understanding of the same, therefore the yogic sciences may very well be useful.
Regarding the question on how to get athletes in the door of your studio: Don't try to convince the athletes themselves, go their coach! Nearly every athlete has a trainer, manager, or a coach. The management of a sports team has the best interest of the athlete in mind as well as their own bottom line. A convincing pitch regarding the benefits of Yoga on an athlete's body, mind, and health, may just land you as the teacher of a whole team. And when a coach says to practice yoga, the athletes practice yoga.
As a athlete/personal trainer my whole life was about getteng better, faster, stronger...but since 2 months I started yoga, of course in the beginning like you said you campare yourself with others and overdo it so much that the next day you are so sore...now I know better and I will definitly save your article and it on to fellow athletes...
I teach a power yoga class and I find that I cannot even get athletes to try yoga, eventhough I send out numerous information explaining the benefits, how can I convince these people to try yoga?