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".
Les mer
Produktdetaljer
ISBN
9783110905434
Publisert
2015
Utgave
1. utgave
Utgiver
Vendor
De Gruyter
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter