Overview

This volume contains the courses and lectures given during the workshop on Differential Geometry and Topology held at Alghero, Italy, in June 1992.The main goal of this meeting was to offer an introduction in attractive areas of current research and to discuss some recent important achievements in both the fields. This is reflected in the present book which contains some introductory texts together with more specialized contributions.The topics covered in this volume include circle and sphere packings, 3-manifolds invariants and combinatorial presentations of manifolds, soliton theory and its applications in differential geometry, G-manifolds of low cohomogeneity, exotic differentiable structures on R4, conformal deformation of Riemannian manifolds and Riemannian geometry of algebraic manifolds.Contents: Asystatic G-Manifolds (A Alekseevsky & D Alekseevsky) Les Paquets de Cercles (M Berger) Smooth Structures on Euclidean Spaces (S Demichelis) Surface Theory, Harmonic Maps and Commuting Hamiltonian Flows (D Ferus) Metric Invariants of Kähler Manifolds (M Gromov) On the Sphere Packing Problem and the Proof of Kepler's Conjecture (W Y Hsiang) A 3-Gem Approach to Turaev-Viro Invariants (S L S Lins) Cohomology Operations and Modular Invariant Theory (L Lomonaco) Scalar Curvature and Conformal Deformation of Riemannian Manifolds (A Ratto) Lectures on Combinatorial Presentations of Manifolds (O Viro) Readership: Mathematicians.

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