12 citations · 28 across the 8 of their papers we have counts for
10 papers
Real Riemann Surfaces: Smooth and Discrete
Johanna Düntsch, Felix Günther
This paper develops a discrete theory of real Riemann surfaces based on quadrilateral cellular decompositions (quad-graphs) and a linear discretization of the Cauchy-Riemann equati…
The convergence of discrete period matrices
Felix Günther
We study compact polyhedral surfaces as Riemann surfaces and their discrete counterparts obtained through quadrilateral cellular decompositions and a linear discretization of the C…
The Gauss map of polyhedral vertex stars
Thomas F. Banchoff, Felix Günther
In discrete differential geometry, it is widely believed that the discrete Gaussian curvature of a polyhedral vertex star equals the algebraic area of its Gauss image. However, no…
Smooth polyhedral surfaces
Felix Günther, Caigui Jiang, Helmut Pottmann
Polyhedral surfaces are fundamental objects in architectural geometry and industrial design. Whereas closeness of a given mesh to a smooth reference surface and its suitability for…
Discrete Riemann surfaces based on quadrilateral cellular decompositions
Alexander I. Bobenko, Felix Günther
Our aim in this paper is to provide a theory of discrete Riemann surfaces based on quadrilateral cellular decompositions of Riemann surfaces together with their complex structure e…
Discrete complex analysis on planar quad-graphs
Alexander I. Bobenko, Felix Günther
We develop a linear theory of discrete complex analysis on general quad-graphs, continuing and extending previous work of Duffin, Mercat, Kenyon, Chelkak and Smirnov on discrete co…
The local geometry of compact homogeneous Lorentz spaces
Felix Günther
In 1995, S. Adams and G. Stuck as well as A. Zeghib independently provided a classification of non-compact Lie groups which can act isometrically and locally effectively on compact…
The maximum number of intersections of two polygons
Felix Günther
We investigate the maximum number of intersections between two polygons with p and q vertices, respectively, in the plane. The cases where p or q is even or the polygons do not hav…
On discrete integrable equations with convex variational principles
Alexander I. Bobenko, Felix Günther
We investigate the variational structure of discrete Laplace-type equations that are motivated by discrete integrable quad-equations. In particular, we explain why the reality cond…
Isometry groups of Lorentzian manifolds of finite volume and The local geometry of compact homogeneous Lorentz spaces
Felix Günther
Based on the work of Adams and Stuck as well as on the work of Zeghib, we classify the Lie groups which can act isometrically and locally effectively on Lorentzian manifolds of fin…