okay, i'll brace myself for the flaming...
I have swam with mantas before on three occasions. I wouldn't use the term "ride" as both my buddy and I were very conscientious when we had our encounters with these beautiful creatures. I have found mantas to be very curious but if they are harassed or being abused they are certainly powerful enough get away from divers if they want to.
On all occasions, I always let the animal approach me. My first time I saw a manta I got excited and tried to swim near it to get a better look. Obviously, it wasn't interested as with a gentle flap of its wings, I found myself almost out of sight of the manta. So I thought how cool it was to have seen the manta and I turned back to join the group and go back to looking at the wall we were diving. Maybe 10 minutes later, near the end of our first dive I was checking out a cool nudibranch when I thought to check on my buddy. He was holding one fin in his hand (I think he was trying to adjust his strap), blowing a lot of bubbles and pointing excitedly off in the distance. Sure enough, our manta (or his cousin... they all look alike to me
![Winking :wink: :wink:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
) was back and it brought it's friends. I looked up and he swam right over where I was. I rolled over on my back to look at its belly and he slowed. I reached out and touched the belly gently. I think it was enjoying my bubbles as it came back a couple times. We had to surface and after our interval, we went back in.
Sure enough, there they were right off the bat. One came up to me, glided slowly as if to await my approach. I slowly approached making sure that the animal could see what I was doing and eventually petted it top side. It started to go a little faster so I swam along with it not holding on to it. Eventually, I wanted to get back to the group and my buddy. I wasn't quite sure where I was. I remembered the position of the sun about and made my way back to the group in a general direction. I found their bubbles and rejoined them. The manta came back after a couple minutes. Did the same thing. Slowed down right next to me and I approached in the same way. This time, gently petted it with one hand and lightly held on to the front of its wing (another time I held on to the remora (sp?) ) with the other but swimming along so as not to create a heavy burden. It was really cool... an amazing experience. I felt very connected to the animal and reinforced my already strong convictions about protecting the environment and the creatures in it.
I'm the person who is always pulling peoples' fins off of coral heads, fans, etc. I would even go so far as to call myself a "tree-hugger". I do believe though that people can interact with nature, so long as we are careful to understand how we affect nature when we do so and always interact with respect.
btw, I have been told that mantas can trap objects between the eyes on the head. Since they don't see straight ahead they sometimes run into anchor lines and other objects (legs, etc) and fold those appendages in and can hold on with quite a grip. I've heard stories, but having never witnessed it, it could be a sea-story...