Alfred Enneper

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Alfred Enneper (born June 14, 1830 in Barmen (now part of Wuppertal ), † March 24, 1885 in Hanover ) was a German mathematician who was particularly concerned with differential geometry .

Enneper received his doctorate in 1856 at the University of Göttingen , where he previously studied with Carl Friedrich Gauß . In 1859 he completed his habilitation in Göttingen and in 1870 became associate professor in Göttingen. From 1865 he was an assessor at the Göttingen Academy of Sciences .

Alfred Enneper was in 1864 about the same time as Karl Weierstrass (1866) numerous new examples of minimal surfaces with the so-called Enneper-Weierstrass construction (or Enneper-Weierstrass parameterization), including the Enneperfläche , one named after Enneper minimal surface. A global form of the Enneper-Weierstrass construction comes from Robert Osserman . Behind the construction is a Gaussian map (with subsequent stereographic projection) of the associated Riemann surface and the sentence that this Gaussian map is holomorphic precisely for minimal surfaces.

literature

  • Gottwald, Illgauds, Schlote Lexicon of important mathematicians , Leipzig 1990 (source for biographical data)
  • David Allen Hoffman The Computer-Aided Discovery of New Embedded Minimal Surfaces , Mathematical Intelligencer, Vol. 9, 1987, pp. 8-21 (on the Enneper-Weierstrass construction)

Web links

References

  1. Holger Krahnke: The members of the Academy of Sciences in Göttingen 1751-2001 (= Treatises of the Academy of Sciences in Göttingen, Philological-Historical Class. Volume 3, Vol. 246 = Treatises of the Academy of Sciences in Göttingen, Mathematical-Physical Class. Episode 3, vol. 50). Vandenhoeck & Ruprecht, Göttingen 2001, ISBN 3-525-82516-1 , p. 76.
  2. Enneper "Analytical-Geometric Investigations", Journal for Mathematics and Physics, Vol. 9, 1864, pp. 96–125