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Riemannian Geometry During the Second Half of the Twentieth Century
About this Title
Marcel Berger, Institut des Hautes Études Scientifiques, Bures-Sur-Yvette, France
Publication: University Lecture Series
Publication Year:
2000; Volume 17
ISBNs: 978-0-8218-2052-0 (print); 978-1-4704-2215-8 (online)
DOI: https://doi.org/10.1090/ulect/017
MathSciNet review: MR1729907
MSC: Primary 53-02; Secondary 01A60, 53-03, 53Cxx
Table of Contents
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Front/Back Matter
Chapters
- 0. Riemannian geometry up to 1950
- 1. Comments on the main topics I, II, III, IV, V under consideration
- Part I. Curvature and topology
- Part II. The geometrical hierarchy of Riemann manifolds: Space forms
- Part III. The set of Riemannian structures on a given compact manifold: Is there a best metric?
- Part IV. The spectrum, the eigenfunctions
- Part V. Periodic geodesics, the geodesic flow
- TOP. Some other Riemannian geometric topics of interest