Wilhelm Paul Albert Klingenberg (28 January 1924 – 14 October 2010) was a German mathematician who worked on differential geometry and in particular on...

Klingenberg may refer to: Klingenberg am Main, a town in Bavaria, Germany Klingenberg, Saxony, a municipality in Saxony, Germany Klingenberg (Elverum)...

contained gaps. The proof for smooth surfaces by Brendan Guilfoyle and Wilhelm Klingenberg, first announced in 2008, was published in three parts concluding...

points. The conjecture was proven in 2024 by Brendan Guilfoyle and Wilhelm Klingenberg. He proved an existence theorem for the solution to ordinary differential...

points at a distance less than r are joined by a unique geodesic. Wilhelm Klingenberg proved in 1959 that the injectivity radius of a closed surface is...

1] is homeomorphic to a sphere. In 1960, both Marcel Berger and Wilhelm Klingenberg proved the topological version of the sphere theorem with the optimal...

55 and 1 by Wilhelm Klingenberg, and finally replaced with the sharp result of pinching between 0.25 and 1 by Marcel Berger and Klingenberg in the early...

(as of 2016) still a major open problem. Closed geodesics. In 1978 Wilhelm Klingenberg published a proof that smooth compact manifolds without boundary...

University. His academic teachers were in particular Kurt Reidemeister, Wilhelm Klingenberg and Karl Stein. In 1960 he transferred to Ludwig-Maximilians-Universität...

doctorate from the University of Bonn in 1979, under the supervision of Wilhelm Klingenberg. He was a professor at the University of Bonn, and a director of...