12 citations · 12 across the 3 of their papers we have counts for
4 papers
Symmetry breaking in geometry
Andreas Fuchs, Udo Hertrich-Jeromin, Mason Pember
A geometric mechanism that may, in analogy to similar notions in physics, be considered as "symmetry breaking" in geometry is described, and several instances of this mechanism in…
Darboux and Calapso transforms of meromorphically isothermic surfaces
Andreas Fuchs
We consider those simply connected isothermic surfaces for which their Hopf differential factorizes into a real function and a meromorphic quadratic differential that has a zero or…
Transformations and singularities of polarized curves
Andreas Fuchs
We study the limiting behaviour of Darboux and Calapso transforms of polarized curves in the conformal n-dimensional sphere, when the polarization has a pole of first or second ord…
Integrable structures and the quantization of free null initial data for gravity
Andreas Fuchs, Michael Reisenberger
Variables for constraint free null canonical vacuum general relativity are presented which have simple Poisson brackets that facilitate quantization. Free initial data for vacuum g…