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math.DG2019
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…
math.DG2015★ 1 cited
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…
math.DG2011
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…