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Durham University

Email and Telephone Directory

Staff Profile

Wilhelm Klingenberg, PhD Purdue University

Personal web page

Nat Sci Course Director, Associate Professor (Reader), Geometry in the Department of Mathematical Sciences
Telephone: +44 (0) 191 33 43069
Room number: CM332

Contact Wilhelm Klingenberg (email at

Research Groups

Department of Mathematical Sciences

  • Pure Mathematics: Geometry

Research Interests

  • Complex and Symplectic Differential Geometry
  • Geometric Analysis
  • Mathematical Optics

Selected Publications

Chapter in book

  • Guilfoyle, Brendan & Klingenberg, Wilhelm (2008). A neutral Kähler surface with applications in geometric optics. In Recent Developments in Pseudo-Riemannian Geometry. Alekseevsky, Dmitri V. & Baum, Helga Zürich: European Mathematical Society. 149-178.

Journal Article

  • Klingenberg, Wilhelm, Lambert, Ben & Ballesteros-Chavez, Daniel (Accepted). Prescribed $k$ symmetric curvature hypersurfaces in de Sitter space. Canadian Mathematical Bulletin
  • Guilfoyle, B. & Klingenberg, W. (2020). Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces. Annales de la Faculté des Sciences de Toulouse 29(3): 565-576.
  • Guilfoyle, B. & Klingenberg, W. (2019). A global version of a classical result of Joachimsthal. Houston Journal of Mathematics 45(2): 455-467.
  • Guilfoyle, B. & Klingenberg, K. (2019). Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension. Transactions of the American Mathematical Society 372(9): 6263-6281.
  • Guilfoyle, B. & Klingenberg, W. (2018). Parabolic Classical Curvature Flows. Journal of the Australian Mathematical Society 104(3): 338-357.
  • Guilfoyle, Brendan & Klingenberg, Wilhelm (2016). A Converging Lagrangian Flow in the Space of Oriented Line. Kyushu Journal of Mathematics 70(2): 343-351.
  • Alekseevsky, D., Guilfoyle, B. & Klingenberg, W. (2016). Erratum to: On the geometry of the space of oriented geodesicd. Annals of Global Analysis and Geometry
  • Georgiou, N., Guilfoyle, B. & Klingenberg, W. (2016). Totally null surfaces in neutral Kähler 4-manifolds. Balkan Journal of Geometry and Its Applications 21(1): 27-41.
  • Alekseevsky, D.V., Guilfoyle, B. & Klingenberg, W. (2011). On the geometry of spaces of oriented geodesics. Annals of Global Analysis and Geometry 40(4): 389-409.
  • Guilfoyle, Brendan & Klingenberg, Wilhelm (2010). On Weingarten surfaces in Euclidean and Lorentzian 3-space. Differential Geometry and its Applications 28 (4): 454-468.
  • Guilfoyle, B. & Klingenberg, W. (2009). Geodesic flow on the normal congruence of a minimal surface. Progress in Mathematics 265: 429-438.
  • Guilfoyle, Brendan & Klingenberg, Wilhelm (2009). On C2-smooth Surfaces of Constant Width. Tbilisi Mathematical Journal 2 : 1-17.
  • Guilfoyle, Brendan & Klingenberg, Wilhelm (2008). Area-stationary surfaces in neutral Kähler 4-manifolds. Beiträge zur Algebra und Geometrie 49 (2): 481-490.
  • Klingenberg, Wilhelm & Guilfoyle, Brendan (2007). Geodesic Flow on Global Holomorphic Sections of TS^2. Bulletin of the Belgian Mathematical Society - Simon Stevin 14(2): 363-371.
  • Klingenberg, Wilhelm & Guilfoyle, Brendan (2006). Reflection in a translation invariant surface. Mathematical Physics, Analysis and Geometry 9(3): 225-231.

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