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Geometry Group
Members
Projects
Lehre
Seminare
Archive
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Antragsteller:
Prof.
Dr. U. Pinkall joint project with
Prof.
Dr. F. Pedit (Tübingen).
Finanzierung: Deutsche
Forschungsgemeinschaft (DFG)
Programm: Schwerpunktprogramm Globale Differentialgeometrie
Laufzeit: 2003 - 2009
Mitarbeiter:
Dr. C. Bohle,
Dr. G. P. Peters.
The Willmore functional or elastic bending energy of an immersion is a
global invariant of fundamental importance in contemporary surface
theory. Its applications range from the biophysics of membranes to
string theory. In our project we investigate constrained Willmore
surfaces, the critical points of Willmore functional restricted to the
class of conformal immersions of a fixed Riemann surface. A
motivation for the study of this constrained variational problem is
the question for the optimal geometric realization of a given Riemann
surface in 3--space. Examples of constrained Willmore surfaces
include all constant mean curvature surfaces in space forms.
Recent Publications
- Franz Pedit, Conformally immersed tori in 4-space of spectral
genus zero, in
Progress in Surface Theory (Oberwolfach, April
29-May 5, 2007). To appear in
Oberwolfach Rep. (2007).
[online]
- Christoph Bohle, Constrained Willmore surfaces, in
Progress in Surface Theory (Oberwolfach, April
29-May 5, 2007). To appear in
Oberwolfach Rep. (2007).
[online]
- G. Paul Peters, Bryant Surfaces with Smooth Ends, in Geometrie
(Oberwolfach, October 8-14, 2006), Oberwolfach Rep. 3 (2006), no.
4, 2733-2736. [online]
- Christoph Bohle, On constrained Willmore tori in the
4-sphere, in Geometrie (Oberwolfach, October 8-14, 2006),
Oberwolfach Rep. 3 (2006), no. 4, 2705-2708. [online]
- Christoph Bohle, G. Paul Peters, and Ulrich Pinkall,
Constrained Willmore Surfaces, preprint, math.DG/0411479.
- Christoph Bohle, G. Paul Peters,
Bryant Surfaces with smooth ends, preprint, math.DG/0411480.
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