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Overview"This volume is the outgrowth of a conference devoted to William K. Clifford entitled, ""New Trends in Geometrical and Topological Methods"", which was held at the University of Madeira in July and August 1995. The aim of the conference was to bring together active workers in fields linked to Clifford's work and to foster the exchange of ideas between mathematicians and theoretical physicists. Divided into 6 one-day sessions, each session was devoted to a specific aspect of Clifford's work. This volume is an attempt to bring the Clifford legacy in a new perspective to a larger community of mathematicians and physicists. New concepts, ideas, and results stemming from Clifford's work are discussed. Containing papers presented or submitted to the conference, each article is self-contained." Full Product DetailsAuthor: Hanna Nencka , Jean-Pierre BourguignonPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 203 Weight: 0.567kg ISBN: 9780821806074ISBN 10: 0821806076 Pages: 353 Publication Date: 30 March 1997 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsW. K. Clifford as a geometer by H. Nencka and J.-P. Bourguignon Part I. Clifford Algebras: Clifford and the 'square root' ideas by A. Trautman Dirac's algebra and Brauer-Wall groups by B. Iversen Linear endomorphisms of Clifford algebras by D. Kastler and M. Mebkhout Part II. Riemannian Surfaces: Uniformizations of Riemann surfaces: Poincare theta series, Riemann's theta function and theta constants by I. Kra Adapted metrics and Mobius transformations defined over Clifford algebras by W. Abikoff Part III. Information Geometry: Information geometry by S.-I. Amari An example of dynamical behaviour of the relative entropy by G. Burdet, H. Nencka, and M. Perrin Information geometry and learning in formal neural networks by P. Combe and H. Nencka Statistical dynamics and information geometry by R. F. Streater Part IV. Noncommutative Geometry: On finite differential calculi by D. Kastler, J. Madore, and T. Masson Some aspects of noncommutative differential geometry by M. Dubois-Violette Connections of bimodules in non-commutative geometry by D. Kastler, J. Madore, and D. Testard Riemannian and non-commutative geometry in physics by B. Iochum, D. Kastler, and T. Schucker Spectral model and fuzzy mass relations by B. Iochum, D. Kastler, and T. Schucker Part V. Cosmology and General Relativity: Not so simple universe by M. Demianski Extended tensorial curvature analysis for embeddings and foliations by B. Carter Spaces admitting a foliation by isotropic hypersurfaces by T. Papakostas An alternative to inflation by R. Triay Part VI. Symplectic Geometry and Self-Similar Structures: A class of homogeneous symplectic manifolds by P. Bieliavsky, M. Cahen, and S. Gutt $r^{th}$ order conditionally convergent series of fractal domains by J. Harrison Part VII. Field Theory: Chern-Simons vortices by C. Duval and P. A. Horvathy The generalized local instability criterion from the geodesic deviation equation by M. Szydlowski.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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