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, PortugalThis 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. |
Contents
Part II Riemannian Surfaces | 39 |
Part III Information Geometry | 79 |
Part IV Noncommutative Geometry | 133 |
Part V Cosmology and General Relativity | 191 |
Part VI Symplectic Geometry and SelfSimilar Structures | 239 |
Field Theory | 269 |
Other editions - View all
Common terms and phrases
A-module affine affine connections Amari automorphism bimodule bundle Cl(V Clifford algebra commutative complex components conjugate connection Connes-Lott construction coordinates corresponding cosmological curvature curves defined definition denote density Der(A derivations differential algebra differential calculus differential geometry dimensional Dirac dual dually flat Dubois-Violette dynamics elements embedded equation exponential family finite foliation follows function galaxies geodesic given graded algebra Higgs homomorphism information geometry invariant involution isomorphism isotropic Kleinian groups Lett Lie algebra linear manifold Math Mathematics Subject Classification Mathematics Volume 203 matrix metric Möbius transformations module non-commutative geometry noncommutative observations orthogonal parameter Phys punctured pure spinors quadratic form quantum representation resp Riemann surfaces Riemannian scalar spacetime spin standard model statistical structure subspace symmetric symplectic tangential Teichmüller space tensor theorem theory transformations universe variables vector fields vector space μν