Surfaces of Revolution in the Heisenberg Group and the Spectral Generalization of the Willmore Functional *

Abstract

In this paper we study the spectral generalization of the Willmore functional for the surfaces in the three-dimensional nilpotent Lie group Nil with leftinvariant metric admitting four-dimensional isometry group, i.e. endowed by one of Thurston’s geometries. The Weierstrass representation for surfaces in Nil was introduced by us in [3] where following the spectral point of view on the Willmore functional adopted in [10, 11] we proposed its generalization as

Cite this paper

@inproceedings{Berdinsky2006SurfacesOR, title={Surfaces of Revolution in the Heisenberg Group and the Spectral Generalization of the Willmore Functional *}, author={D A Berdinsky and I A Taimanov}, year={2006} }