Well, yuri in manga basically means stories centered around female-female romantic connections. It can show different aspects of these relationships, like emotional struggles, sweet moments, and sometimes even physical expressions of love.
I'm not sure. To determine if it's yuri, you'd need to look at the depth and nature of the relationships between the characters. Sometimes it's not straightforward and could be open to debate.
No. In the general fan community, most fans value the original essence of Batman. Yuri and bdsm themes are not in line with the traditional superhero image and values that Batman represents. It can make many fans uncomfortable and is not widely accepted.
Searching for such fanfic on mainstream platforms is not likely to be successful as they usually have strict content policies against adult or inappropriate themes. You might try some smaller, specialized fanfic communities that allow more diverse and edgy content, but be aware that it may still violate ethical or legal boundaries in some cases.
Yes, Yuri on Ice is based on a manga. The anime closely follows the manga's framework, but there could be some minor changes or additions to suit the animation format and add more depth to the story.