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\(L^2\)-cohomology of manifolds with flat ends - MaRDI portal

\(L^2\)-cohomology of manifolds with flat ends (Q2504002)

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\(L^2\)-cohomology of manifolds with flat ends
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    \(L^2\)-cohomology of manifolds with flat ends (English)
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    22 September 2006
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    This paper gives a topological description of the space of \(L^2\)-harmonic forms on manifolds with flat ends. For some of these manifolds a formula for the \(L^2\)-Euler characteristic is given. These results are consequences of general theorems on complete Riemannian manifolds where the Gauss-Bonnet operator is non-parabolic at infinity.
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    \(L^2\)-harmonic forms
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    \(L^2\)-Euler characteristic
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