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
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書誌事項
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
（Contemporary mathematics, v. 203）
American Mathematical Society, c1997
- : pbk
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注記
Includes bibliographical references
内容説明・目次
内容説明
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. Each article in the book is a self-contained paper that was presented at or submitted to the conference.
目次
W. 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.
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