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MSC-Classification (mathematics)
58-XX GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS [See ...
58Axx General theory of differentiable manifolds [See also 32Cxx]
58A03 Topos-theoretic approach to differentiable manifolds
58A05 Differentiable manifolds, foundations
58A07 Real-analytic and Nash manifolds [See also 14P20, 32C07]
58A10 Differential forms
58A12 de Rham theory [See also 14Fxx]
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58A14 Hodge theory [See also 14C30, 14Fxx, 32J25, 32S35]
58A15 Exterior differential systems (Cartan theory)
58A17 Pfaffian systems
58A20 Jets
58A25 Currents [See also 32C30, 53C65]
58A30 Vector distributions (subbundles of the tangent bundles)
58A32 Natural bundles
58A35 Stratified sets [See also 32S60]
58A40 Differential spaces
58A50 Supermanifolds and graded manifolds [See also 14A22, 32C11]
58A99 None of the above, but in this section
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Author
Wirthmüller, Klaus
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Year of publication
2017
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Document Type
Lecture
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Language
English
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Has Fulltext
yes
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Keywords
Differenzierbare Mannigfaltigkeit
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Faculty / Organisational entity
Kaiserslautern - Fachbereich Mathematik
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Manifolds
(2017)
Wirthmüller, Klaus
Lecture notes written to accompany a one semester course introducing to differential manifolds. Beyond the basic notions differential forms including Stokes' theorem are treated, as well as vector fields and flows on a differential manifold.
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