The spinorial energy functional on surfaces
Bernd Ammann, Hartmut Weiss, Frederik Witt

The spinorial energy functional on surfaces (.pdf)
Math. Z. 282, 177-202 (2016), DOI 10.1007/s00209-015-1537-1
Old formats (.dvi, .ps, or .ps.gz)


This is a companion paper to a previous article where we introduced the spinorial energy functional and studied its main properties in dimensions equal or greater than three. In this article we focus on the surface case. A salient feature here is the scale invariance of the functional which leads to a plenitude of critical points. Moreover, via the spinorial Weierstraß representation it relates to the Willmore energy of periodic immersions of surfaces into R3.
Zurück zur Homepage

The Paper was written on 17.7.2014
Last update 1.10.2015