Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

The normalized curve shortening flow and homothetic solutions

- U. Abresch, J. Langer
- Mathematics
- 1986

The curve shortening problem, by now widely known, is to understand the evolution of regular closed curves γ: R/Z -> M moving according to the curvature normal vector: dy/dt = kN = -"the ZΛgradient… Expand

A Hopf differential for constant mean curvature surfaces inS2×R andH2×R

- U. Abresch, H. Rosenberg
- Mathematics
- 1 September 2004

A basic tool in the theory of constant mean curvature (cmc) surfaces Σ in space forms is the holomorphic quadratic differential discovered by H. Hopf. In this paper we generalize this differential to… Expand

On complete manifolds with nonnegative Ricci curvature

- U. Abresch, Detlef Gromoll
- Mathematics
- 1 May 1990

Complete open Riemannian manifolds (Mn, g) with nonnegative sectional curvature are well understood. The basic results are Toponogov's Splitting Theorem and the Soul Theorem [CG1]. The Splitting… Expand

Constant mean curvature tori in terms of elliptic functions.

- U. Abresch
- Mathematics
- 1987

Based on a numerical approximation of such a solution, we could produce plots of one ff-torus. In these Computer generated pictures the curvature lines for the smaller principal curvature λ^ looked… Expand

Isoparametric hypersurfaces with four or six distinct principal curvatures

- U. Abresch
- Mathematics
- 1 September 1983

This invention relates to substrates and articles of manufacture incorporating a fluoropolymer primer coating. The primer coating comprises a copolymer of ethylene and a halogenated comonomer… Expand

Lower curvature bounds, Toponogov's theorem, and bounded topology. II

- U. Abresch
- Mathematics
- 1985

© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1985, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www.… Expand

Injectivity Radius Estimates and Sphere Theorems

- U. Abresch, Wolfgang Meyer
- Mathematics
- 1997

We survey results about the injectivity radius and sphere theorems, from the early versions of the topological sphere theorem to the authors’ most recent pinching below1 4 theorems, explaining at… Expand

Graph manifolds, ends of negatively curved spaces and the hyperbolic 120-cell space

- U. Abresch, V. Schroeder
- Mathematics
- 1992

FOR CONSTANT MEAN CURVATURE SURFACES IN S 2 R AND H 2 R

- U. Abresch, H. Rosenberg
- Mathematics
- 2003

A basic tool in the theory of constant mean curvature (cmc) surfaces 2 in space forms is the holomorphic quadratic dierential dis- covered by H. Hopf. In this paper we generalize this dierential to… Expand

Wiedersehen metrics and exotic involutions of Euclidean spheres

- U. Abresch, C. Durán, Thomas Puettmann, A. Rigas
- Mathematics
- 6 January 2005

Abstract We provide explicit, simple, geometric formulas for free involutions ρ of Euclidean spheres that are not conjugate to the antipodal involution. Therefore the quotient Sn/ρ is a manifold that… Expand

...

1

2

...