| Description |
1 online resource (xvi, 296 pages) : illustrations |
| Series |
Contemporary mathematics, 0271-4132 ; 203 |
|
Contemporary mathematics (American Mathematical Society) ; v. 203.
|
| Contents |
""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"" |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Clifford, William Kingdon, 1845-1879
|
| SUBJECT |
Clifford, William Kingdon, 1845-1879 fast |
| Subject |
Geometry -- Congresses
|
|
Topology -- Congresses
|
|
Mathematical physics -- Congresses
|
|
SCIENCE -- Energy.
|
|
SCIENCE -- Mechanics -- General.
|
|
SCIENCE -- Physics -- General.
|
|
Geometry
|
|
Mathematical physics
|
|
Topology
|
| Genre/Form |
Conference papers and proceedings
|
| Form |
Electronic book
|
| Author |
Clifford, William Kingdon, 1845-1879
|
|
Nencka, Hanna, 1956-
|
|
Bourguignon, J.-P. (Jean-Pierre), 1947-
|
| ISBN |
9780821877944 |
|
0821877941 |
|
