Prof. Dr. Uwe Abresch

Verfügbare Aufsätze / Available Documents

• A Hopf differential for constant mean curvature surfaces in S² x R and H² x R.
  (joint with H. Rosenberg)
  Acta Math., to appear.
  
  
• Holomorphic quadratic differentials
  to appear in Proceedings of the 13^th School of Differential Geometry, Mat. Contemp.
  
  
• Generalized Hopf differentials
  Oberwolfach Reports 1, 2004.
  

Neu/New: An exotic involution of the 5-sphere. A QuickTime movie by Uwe Abresch, Carlos Duran, Thomas Püttmann, and A. Rigas.

Ausgewählte Veröffentlichungen / Selected Publications

• Isoparametric hypersurfaces with four or six distinct principal curvatures.
  Necessary conditions on the multiplicities.
  Math. Ann. 264 (1983), 283--302
  
  
• Lower curvature bounds, Toponogov's theorem, and bounded topology. I,II
  Ann. Sci. École Norm. Sup. 18 (1985), 651--670
  Ann. Sci. École Norm. Sup. 20 (1987), 475--502.
  
  
• The normalized curve shortening flow and homothetic solutions.
  (joint with J. Langer)
  J. Differential Geom. 23 (1986), 175--196.
  
  
• Constant mean curvature tori in terms of elliptic functions.
  J. Reine Angew. Math. 374 (1987), 169--192.
  
  
• On complete manifolds with nonnegative Ricci curvature.
  (joint with D. Gromoll)
  J. Amer. Math. Soc. 3 (1990), 355--374.
  
  
• Graph manifolds, ends of negatively curved spaces and the hyperbolic 120-cell space.
  (joint with Viktor Schroeder)
  J. Differential Geom. 35 (1992), 299--336.
  
  
• A sphere theorem with a pinching constant below 1/4.
  (joint with W. Meyer)
  J. Differential Geom. 44 (1996), 214--261.
  
  

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