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 / / Hanna Nencka, Jean-Pierre Bourguignon, editors

• Record Nr.: UNINA9910817967203321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1997]; ©1997
• ISBN: 0-8218-7794-1; 0-8218-5539-5
• Descrizione fisica: 1 online resource (314 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 203 , 0271-4132
• Disciplina: 530.15/6
• Soggetti: Geometry; Topology; Mathematical physics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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.