There are bubbles on your manifold and there is nothing you or anyone else can do about it.
Mark 2/23/2014 . . . . . . I made a discovery!
Mark 3/6/2014 ........... I understood the discovery!
Q&A for active researchers, academics and students of physics
Q&A for professional mathematicians
Q&A for theoretical computer scientists and researchers in related fields
Q&A for students, researchers and practitioners of computer science
Q&A for finance professionals and academics
Q&A for academics and those enrolled in higher education
Q&A for scientists using computers to solve scientific problems
Stack Exchange Network staging zone, where users come together to build new Q&A sites