Showing math.DGShow all
2 papers · 1 filter
math.DG2006
Surfaces of revolution in the Heisenberg group and the spectral generalization of the Willmore functional
Dmitry A. Berdinsky, Iskander A. Taimanov
We study the generalization of the Willmore functional for surfaces in the three-Heisenberg group. Its construction is based on the spectral theory of the Dirac operator coming to…
math.DG2005
Surfaces in three-dimensional Lie groups
Dmitry A. Berdinsky, Iskander A. Taimanov
We derive the Weierstrass (or spinor) representation for surfaces in three-dimensional Lie groups Nil, \tilde{SL}_2, and Sol with Thurston's geometries and establish the generating…