Differential geometry and topology, discrete and computational geometry
著者
書誌事項
Differential geometry and topology, discrete and computational geometry
（NATO science series, series 3 . Computer and Systems sciences ; v. 197）
IOS Press, c2005
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注記
"Published in cooperation with NATO Public Diplomacy Division"
"Proceedings of the NATO Advanced Study Institute on Differential Geometry and Topology, Discrete and Computational Geometry Marrakech, Morocco. 17-31 May 2004 "--T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
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 differential geometry and topology, Riemanian geometry (Levi-Civita connextion, curvature tensor, geodesic, completeness and curvature tensor), characteristic classes (to associate every fibre bundle with isomorphic fiber bundles), the link between differential geometry and the geometry of non smooth objects, computational geometry and concrete applications such as structural geology and graphism.
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