Prof. Dr. Uwe Abresch

Postal address:		Ruhr-Universität Bochum Fakultät für Mathematik Universitätsstr. 150 44780 Bochum GERMANY
Office:		Building NA 5/66
Phone:		+49-234-3223267
Email:		abresch _at_ math.ruhr-uni-bochum.de

Recent Publications

• A Hopf differential for constant mean curvature surfaces in S^2 x R and H^2 x R,
  joint work with H. Rosenberg,
  to appear in Acta Math. | download as pdf
• Holomorphic quadratic differentials,
  to appear in Proceedings of the 13th School of Differential Geometry, Mat. Contemp. | download as pdf
• Generalized Hopf differentials,
  Oberwolfach Reports 1, 2004. | download as pdf

Selected Publications

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