AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Geometry and Nature
About this Title
Hanna Nencka and Jean-Pierre Bourguignon, Editors
Publication: Contemporary Mathematics
Publication Year:
1997; Volume 203
ISBNs: 978-0-8218-0607-4 (print); 978-0-8218-7794-4 (online)
DOI: https://doi.org/10.1090/conm/203
MathSciNet review: 1443910
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
- A. Trautman – Clifford and the “square root” ideas [MR 1443911]
- Birger Iversen – Dirac’s algebra and Brauer-Wall groups [MR 1443912]
- D. Kastler and M. Mebkhout – Linear endomorphisms of Clifford algebras [MR 1443913]
- I. Kra – Uniformizations of Riemann surfaces: Poincaré theta series, Riemann’s theta function and theta constants [MR 1443914]
- William Abikoff – Adapted metrics and Möbius transformations defined over Clifford algebras [MR 1443915]
Part III. Information Geometry
- S.-I. Amari – Information geometry [MR 1443916]
- G. Burdet, H. Nencka and M. Perrin – An example of dynamical behaviour of the relative entropy [MR 1443917]
- P. Combe and H. Nencka – Information geometry and learning in formal neural networks [MR 1443918]
- R. F. Streater – Statistical dynamics and information geometry [MR 1443919]
Part IV. Noncommutative Geometry
- D. Kastler, J. Madore and T. Masson – On finite differential calculi [MR 1443920]
- M. Dubois-Violette – Some aspects of noncommutative differential geometry [MR 1443921]
- D. Kastler, J. Madore and D. Testard – Connections of bimodules in non-commutative geometry [MR 1443922]
- B. Iochum, D. Kastler and T. Schücker – Riemannian and non-commutative geometry in physics [MR 1443923]
- Bruno Iochum, Daniel Kastler and Thomas Schücker – Spectral model and fuzzy mass relations [MR 1443924]
Part V. Cosmology and General Relativity
- M. Demiański – Not so simple universe [MR 1443925]
- B. Carter – Extended tensorial curvature analysis for embeddings and foliations [MR 1443926]
- T. Papakostas – Spaces admitting a foliation by isotropic hypersurfaces [MR 1443927]
- R. Triay – An alternative to inflation [MR 1443928]
Part VI. Symplectic Geometry and Self-Similar Structures
- P. Bieliavsky, M. Cahen and S. Gutt – A class of homogeneous symplectic manifolds [MR 1443929]
- Jenny Harrison – $r$th order conditionally convergent series of fractal domains [MR 1443930]
- C. Duval and P. A. Horváthy – Chern-Simons vortices [MR 1443931]
- Marek Szydłowski – The generalized local instability criterion from the geodesic deviation equation [MR 1443932]