I didn't approach yoga as early as I should have and until very recently any sort of advice I received along those lines was more or less quickly rejected with the usual "I have no time for that", or "I rather practice [piano] more". I was sceptic, didn't believe it could affect my playing and didn't have time to waste.
It is another silly excuse, but probably the fact that such a recommendation would't come directly from a musician didn't help! Alas, we can be so blind sometimes...
Yoga has a profound effect both in your body and mind, and consequently it will show in the way you play. Yoga brings together mind and body in one, and is precisely that unity, that coherence in oneself that we need to have in order to truly let the music flow from us, and through us.
I could go on and on , but I want to keep it really brief and hopefully effective, the main message being, TRY IT! Moreover, you don't need to spend a fortune committing months in a studio or gym if you are not ready for it; there are plenty of fantastic tutorials online to awaken your curiosity and help doing the first and most important steps!
This is my little contribution. I have to thank my piano teacher Laura Roberts for having shown it to me.
I'll finish with some links: this is the Yoga Journal with plenty of info and here goes a Sun Salutation with Esther Ekhart. It can take as little as 10 minutes a day, but it will make such a difference! You can take my word for it!
As I said earlier.. Try it!
Ps. I have no shares with either the Yoga Journal or Esther! They are two online resources that I like :)