Hello. Is the reflection of a dynamic environment in a mesh possible in JOGL on Linux, using only the more common OpenGL extensions?
Depends on what you consider common. If you assume frame buffer objects (FBOs) are available, then yes, you can render the scene to an FBO and use the resulting texture to environment map objects in the scene. Do a Google search for “dynamic environment mapping”. A quick search turned up this one of Java Cool Dude’s demos, which you could probably fairly easily port to JOGL.