Hermann Vermeil

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Hans Anton Hermann Vermeil (born October 20, 1889 in Dresden ; † 1959 ) was a German mathematician who provided the first published evidence that the scalar curvature is the only absolute invariant among those of the prescribed type that are suitable for Albert Einstein's theory . The theorem was proven by him in 1917 when he was Hermann Weyl's assistant.

Life

Vermeil was a nephew of the mathematician and university professor Hans von Mangoldt . From 1909 he studied in Danzig , Tübingen and Leipzig , where he received his doctorate in 1914. From 1917 to 1918 he continued his studies in Göttingen . In 1919 he worked as a university assistant in Göttingen and Danzig, and in 1923 in Aachen . From 1925 he taught as a teacher at the Technical State School in Cologne .

Fonts (selection)

  • The approximation method Xn = [Phi] (Xn-1) and its application to the theory and practice of algebraic and transcendent equations. Dissertation Leipzig 1914. Borna-Leipzig; Noske 1914.
  • Determination of a quadratic differential form from the Riemann and Christoffel differential invariants with the help of normal coordinates . In: Mathematische Annalen, Vol. 19, 1918. pp. 209-312.
Editing

Felix Klein : Collected Mathematical Treatises. Edited by Robert Fricke , A. Ostrowski , Hermann Vermeil, Erich Bessel-Hagen . Volume 1-3. Berlin: Springer; Reprint of the Berlin 1922 edition (Springer Collection Works in Mathematics.)

1. Line geometry - basic geometry for the Erlangen program . 1922.
2. Descriptive geometry - substitution groups and equation theory - on mathematical physics .
3. Elliptic functions, especially module functions - hyperelliptic and Abelian functions - Riemannian function theory and automorphic functions .

Web links

Individual evidence

  1. ^ Vermeil, Hans Anton Hermann. In: Johann Christian Poggendorff : Biographical-literary concise dictionary for the history of the exact sciences . Volume 6, part 4, Berlin 1939.