Modern geometry - methods and applications, Part II, the geometry and topology of manifolds / B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
Type de document : Livre numériqueCollection : Graduate texts in mathematics, 104Langue : anglais.Éditeur : New York : Springer, cop. 1985ISBN: 9780387961620.ISSN: 0072-5285.Sujet MSC : 53-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry57-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to manifolds and cell complexes
55-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topologyEn-ligne : Springerlink
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Examples of manifolds; Foundational questions. Essential facts concerning functions on a manifold. Typical smooth mappings; The degree of a mapping. The intersection index of submanifolds. Applications; Orientability of manifolds. The fundamental group. Covering spaces; Homotopy groups; Smooth fibre bundles; Some examples of dynamical systems and foliations on manifolds; The global structure of solutions of higher-dimensional variational problems.
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