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 30August 5, 1995, Madeira, Portugal

Contributor(s): Bourguignon JeanPierre | Clifford William Kingdon | Nencka HannaMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 203Publication details: Providence, R.I. : American Mathematical Society, c1997Description: 1 online resource (xvi, 296 p. : ill.)ISBN: 9780821877944 (online)Subject(s): Geometry | Mathematical physics | TopologyOnline resources: Click here to access online
Contents:
Clifford and the "square root" ideas ; Dirac's algebra and BrauerWall groups ; Linear endomorphisms of Clifford algebras ; Uniformizations of Riemann surfaces: Poincare theta series, Riemann's theta function and theta constants ; Adapted metrics and Mobius transformations defined over Clifford algebras ; Information geometry ; An example of dynamical behaviour of the relative entropy ; Information geometry and learning in formal neural networks ; Statistical dynamics and information geometry ; On finite differential calculi ; Some aspects of noncommutative differential geometry ; Connections of bimodules in noncommutative geometry ; Riemannian and noncommutative geometry in physics ; Spectral model and fuzzy mass relations ; Not so simple universe ; Extended tensorial curvature analysis for embeddings and foliations ; Spaces admitting a foliation by isotropic hypersurfaces ; An alternative to inflation ; A class of homogeneous symplectic manifolds ; h order conditionally convergent series of fractal domains ; ChernSimons vortices ; The generalized local instability criterion from the geodesic deviation equation A Trautman ; Birger Iversen ; D Kastler and M Mebkhout ; I Kra ; William Abikoff ; SI Amari ; G Burdet H Nencka and M Perrin ; P Combe and H Nencka ; R F Streater ; D Kastler J Madore and T Masson ; M DuboisViolette ; D Kastler J Madore and D Testard ; B Iochum D Kastler and T Schucker ; Bruno Iochum Daniel Kastler and Thomas Schucker ; M Demianski ; B Carter ; T Papakostas ; R Triay ; P Bieliavsky M Cahen and S Gutt ; Jenny Harrison ; C Duval and P A Horvathy ; Marek Szydowski
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Includes bibliographical references.

Clifford and the "square root" ideas ; Dirac's algebra and BrauerWall groups ; Linear endomorphisms of Clifford algebras ; Uniformizations of Riemann surfaces: Poincare theta series, Riemann's theta function and theta constants ; Adapted metrics and Mobius transformations defined over Clifford algebras ; Information geometry ; An example of dynamical behaviour of the relative entropy ; Information geometry and learning in formal neural networks ; Statistical dynamics and information geometry ; On finite differential calculi ; Some aspects of noncommutative differential geometry ; Connections of bimodules in noncommutative geometry ; Riemannian and noncommutative geometry in physics ; Spectral model and fuzzy mass relations ; Not so simple universe ; Extended tensorial curvature analysis for embeddings and foliations ; Spaces admitting a foliation by isotropic hypersurfaces ; An alternative to inflation ; A class of homogeneous symplectic manifolds ; h order conditionally convergent series of fractal domains ; ChernSimons vortices ; The generalized local instability criterion from the geodesic deviation equation A Trautman ; Birger Iversen ; D Kastler and M Mebkhout ; I Kra ; William Abikoff ; SI Amari ; G Burdet H Nencka and M Perrin ; P Combe and H Nencka ; R F Streater ; D Kastler J Madore and T Masson ; M DuboisViolette ; D Kastler J Madore and D Testard ; B Iochum D Kastler and T Schucker ; Bruno Iochum Daniel Kastler and Thomas Schucker ; M Demianski ; B Carter ; T Papakostas ; R Triay ; P Bieliavsky M Cahen and S Gutt ; Jenny Harrison ; C Duval and P A Horvathy ; Marek Szydowski