Manifolds

  • 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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Author:Klaus Wirthmüller
URN:urn:nbn:de:hbz:386-kluedo-45291
Document Type:Lecture
Language of publication:English
Date of Publication (online):2017/01/02
Year of first Publication:2017
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2017/01/03
GND Keyword:Differenzierbare Mannigfaltigkeit
Page Number:V, 142
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57-01 Instructional exposition (textbooks, tutorial papers, etc.)
57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Rxx Differential topology (For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx)
58-XX GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx](For geometric integration theory, see 49Q15) / 58-01 Instructional exposition (textbooks, tutorial papers, etc.)
58-XX GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx](For geometric integration theory, see 49Q15) / 58Axx General theory of differentiable manifolds [See also 32Cxx]
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 30.07.2015