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Unformatted text preview: are closed, that is, d Ω ( l ) = d Ω = . 2. Find the expressions in local coordinates for these forms. • These forms deﬁne so called characteristic classes , which are closed invariant forms whose integrals over the manifold do not depend on the metric and, therefore, are topological invariants of the manifold. di ﬀ geom.tex; April 12, 2006; 17:59; p. 160 162 CHAPTER 6. CONNECTION AND CURVATURE di ﬀ geom.tex; April 12, 2006; 17:59; p. 161...
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 Spring '10
 Wong
 Linear Algebra, Geometry, Topology, Equations, Topological space, matrix form, CARTAN’S STRUCTURAL, matrixvalued pforms

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