Kähler, Erich 1906-

Overview

Works:	68 works in 131 publications in 4 languages and 556 library holdings
Roles:	Author, Honoree

Publication Timeline

Most widely held works by Erich Kähler

Einführung in die Theorie der Systeme von Differentialgleichungen by Erich Kähler( Book )

22 editions published between 1934 and 1949 in German and Germanic and held by 166 WorldCat member libraries worldwide

Mathematische Werke = Mathematical works by Erich Kähler( Book )

12 editions published between 2003 and 2011 in English and German and held by 131 WorldCat member libraries worldwide

For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kähler's many outstanding achievements which cover an unusually wide area: From celestial mechanics he got into complex function theory, differential equations, analytic and complex geometry with differential forms, and then into his main topic, i.e. arithmetic geometry where he constructed a system of notions which is a precursor and, in large parts, equivalent to the now used system of Grothendieck and Dieudonné. His principal interest was in finding the unity in the variety of mathematical themes and establishing thus mathematics as a universal language. In this volume Kähler's mathematical papers are collected following a "Tribute to Herrn Erich Kähler" by S.S. Chern, an overview of Kähler's life data by A. Bohm and R. Berndt, and a Survey of his Mathematical Work by the editors. There are also comments and reports on the developments of the main topics of Kähler's work, starting by W. Neumann's paper on the topology of hypersurface singularities, J.-P. Bourguignon's report on Kähler geometry and, among others by Berndt, Bost, Deitmar, Ekeland, Kunz and Krieg, up to A. Nicolai's essay "Supersymmetry, Kähler geometry and Beyond". As Kähler's interest went beyond the realm of mathematics and mathematical physics, any picture of his work would be incomplete without touching his work reaching into other regions. So a short appendix reproduces three of his articles concerning his vision of mathematics as a universal Theme together with an essay by K. Maurin giving an "Approach to the philosophy of Erich Kähler."

Innerer und äusserer Differentialkalkül by Erich Kähler( Book )

2 editions published in 1960 in German and held by 60 WorldCat member libraries worldwide

Algebra und Differentialrechnung by Erich Kähler( Book )

8 editions published in 1958 in German and Italian and held by 59 WorldCat member libraries worldwide

Die Dirac-Gleichung by Eric Kähler( Book )

5 editions published in 1961 in German and Undetermined and held by 17 WorldCat member libraries worldwide

Über die Existenz von Gleichgewichtsfiguren rotierender Flüssigkeiten, die sich aus gewissen Lösungen des n-Körperproblems ableiten by Erich Kähler( Book )

6 editions published in 1928 in German and held by 15 WorldCat member libraries worldwide

Geometria aritmetica by Erich Kähler( Book )

1 edition published in 1958 in Undetermined and held by 9 WorldCat member libraries worldwide

Forme differenziali e funzioni algebriche by Erich Kähler( Book )

3 editions published in 1932 in Italian and held by 9 WorldCat member libraries worldwide

Forme differenziali e funzioni algebriche by Erich Kähler( Book )

1 edition published in 1932 in Italian and held by 7 WorldCat member libraries worldwide

Die Mathematik als Sprache und Schrift : ein Entwurf by Erich Kähler( Book )

2 editions published in 1950 in German and held by 5 WorldCat member libraries worldwide

Die Reduktion des Dreikörperproblems in geometrischer Form dargestellt by Erich Kähler( Book )

2 editions published in 1926 in German and held by 5 WorldCat member libraries worldwide

Monadologie I by Erich Kähler( Book )

2 editions published in 1975 in German and held by 4 WorldCat member libraries worldwide

Algebra und Differentialrechung by Erich Kähler( Book )

2 editions published between 1953 and 1958 in German and held by 4 WorldCat member libraries worldwide

Geometria arithmetica, (Annali di mat. pura ed appl., series 4, tomo XLV cime varenna) by E Kahler( Book )

4 editions published between 1958 and 1978 in Italian and Undetermined and held by 3 WorldCat member libraries worldwide

Sui periodi degli integrali multipli sopra una varietà algebrica by Erich Kähler( Book )

2 editions published in 1932 in Undetermined and Italian and held by 2 WorldCat member libraries worldwide

Über die Verzweigung einer algebraischen Funktion zweier Veränderlichen in der Umgebung einer singulären Stelle by Erich Kähler( Book )

1 edition published in 1929 in German and held by 2 WorldCat member libraries worldwide

Vorlesungen über integralgeometrie by Wilhelm Blaschke( Book )

2 editions published in 1949 in German and held by 2 WorldCat member libraries worldwide

Zum Gedenken an Erich Kähler by Horst Schumann( Book )

1 edition published in 2000 in German and held by 2 WorldCat member libraries worldwide

Algebra und Differentialrechnung by Erich Kähler( Book )

1 edition published in 1959 in German and held by 2 WorldCat member libraries worldwide

Riemanniana : [Erich Kähler] by Erich Kähler( Book )

2 editions published between 1953 and 1956 in German and held by 2 WorldCat member libraries worldwide