A Global Invariant of Conformal Mappings in Space
A Global Invariant of Conformal Mappings in Space
This paper shows that the total integral of the square of the mean curvature for a compact orientable surface in E3 is an invariant of a conformai space mapping.This result is then used to answer a problem raised by T. Willmore and B.-Y. Chen concerning embeddings of compact orientable surfaces, …