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Geometry and nature : in memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in memory of William Kingdon Clifford, July 30-August 5, 1995, Madeira, Portugal /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©1997.
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| Colección: | Contemporary mathematics (American Mathematical Society) ;
v. 203. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Contents""; ""List of Participants""; ""Preface""; ""W. K. Clifford as a geometer""; ""Part I. Clifford Algebras""; ""Clifford and the 'square root' ideas""; ""Dirac's algebra and Brauer-Wall groups""; ""1. Dirac's algebra""; ""2. Mod-2 graded algebras""; ""3. Duality in Brauer-Wall group""; ""4. Anti-centre""; ""5. Structure theorem for BW(k)""; ""6. The quaternion model for H5""; ""Linear endomorphisms of Clifford algebras""; ""Part II. Riemannian Surfaces""; ""Uniformizations of Riemann surfaces: Poincaré theta series, Riemann's theta function and theta constants""
- ""Adapted metrics and Mobius transformations defined over Clifford algebras""""Part III. Information Geometry""; ""Information geometry""; ""1. Introduction""; ""2. Riemannian Manifold with Dual Affine Connections""; ""3. Dually flat manifolds""; ""4. Some Unsolved Mathematical Questions""; ""5. Manifold of Probability Distributions""; ""6. Applications of Information Geometry""; ""7. Conclusions""; ""References""; ""An example of dynamical behaviour of the relative entropy""; ""Information geometry and learning in formal neural networks""; ""Statistical dynamics and information geometry""
- ""Part IV. Noncommutative Geometry""""On finite differential calculi""; ""Some aspects of noncommutative differential geometry""; ""Connections of bimodules in non-commutative geometry""; ""Riemannian and non-commutative geometry in physics""; ""Spectral model and fuzzy mass relations""; ""Part V. Cosmology and General Relativity""; ""Not so simple universe""; ""Extended tensorial curvature analysis for embeddings and foliations""; ""Spaces admitting a foliation by isotropic hypersurfaces""; ""An alternative to inflation""; ""Part VI. Symplectic Geometry and Self-Similar Structures""
- ""A class of homogeneous symplectic manifolds""""rth order conditionally convergent series of fractal domains""; ""Part VII: Field Theory""; ""Chern-Simons vortices""; ""The generalized local instability criterion from the geodesic deviation equation""