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scientific article; zbMATH DE number 978974
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scientific article; zbMATH DE number 978974

    Statements

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    18 February 1997
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    differentiable manifolds
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    multilinear algebra
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    integration on manifolds
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    complex variable theory
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    analysis on manifolds
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    theory of functions
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    functional analysis
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    vector bundles
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    theory of Lie groups and Lie algebras
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    symmetries
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    conservation laws
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    differential geometry
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    Ehresmann connection for submersed manifolds
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    de Rham cohomology
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    Poincaré duality
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    Künneth formulas
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    singular homology
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    cohomology
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    homological algebra
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    Riemannian geometry
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    Theorema Egregium
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    Gauss-Bonnett theorem
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    theorem of Hopf-Rinow
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    constant curvature
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    Riemannian surfaces
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    Riemann-Roch theorem
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