Einführung in die Geometrie und Topologie

DOI10.1007/978-3-0348-0901-6zbMath1322.57001OpenAlexW2502980890MaRDI QIDQ5178926

Werner Ballmann

Publication date: 18 March 2015

Full work available at URL: https://doi.org/10.1007/978-3-0348-0901-6

zbMATH Keywords

manifoldsdifferential formsvector bundlesde Rham cohomologysubmanifoldscontinuous mapstopological spacesvector fieldscompact spacestangent bundlesconnected spacestheorem of Stokesoriented manifoldsextrinsic geometry of submanifoldsintrinsic geometry of submanifolds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to general topology (54-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis (58-01) Differentiable manifolds, foundations (58A05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Curves in Euclidean and related spaces (53A04) Flatness and tameness of topological manifolds (57N45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to manifolds and cell complexes (57-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology (55-01)

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