Differential geometry and topology, discrete and computational geometry

Differential topology Discrete geometry Geometry Geometry, Differential Conference proceedings sähkökirjat
IOS Press
2005
EISBN 9781429415897
Title page; Preface; List of Participants; Contents; Differential Topology; Combinatorial Topology and Discrete Morse Theory; Dynamics of Groups of Homeomorphisms; Examples of Transverse Structures of Foliations; Integrability of Lie Algebra Action; Background on Riemannian Geometry; Holonomy Groups of Pseudo-Riemannian Manifolds; Curvature and Symmetries of Parallel Transport; Extrinsic Symmetries of Parallel Transport; Characteristic Classes; On Stiefel-Whithney Classes; On Curvatures; Voronoi Diagrams, Triangulations and Surfaces; Subject Index; Author Index.
The aim of this volume is to give an introduction and overview to differential topology, differential geometry and computational geometry with an emphasis on some interconnections between these three domains of mathematics. The chapters give the background required to begin research in these fields or at their interfaces. They introduce new research domains and both old and new conjectures in these different subjects show some interaction between other sciences close to mathematics. Topics discussed are; the basis of differential topology and combinatorial topology, the link between differenti.
The aim of this volume is to give an introduction and overview to differential topology, differential geometry and computational geometry with an emphasis on some interconnections between these three domains of mathematics. The chapters give the background required to begin research in these fields or at their interfaces. They introduce new research domains and both old and new conjectures in these different subjects show some interaction between other sciences close to mathematics. Topics discussed are; the basis of differential topology and combinatorial topology, the link between differenti.
