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arxiv: 1207.5668 · v1 · pith:XQFDJS5Jnew · submitted 2012-07-24 · 🧮 math.DG

Cohomologie L^p en degr\'e 1 des espaces homog\`enes

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keywords spacescohomologyhomogeneouscohomologiecomputedcurveddegrdegree
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The $L^p$-cohomology in degree 1 of Riemannian homogeneous spaces is computed. It turns out that reduced cohomology does not vanish exactly for spaces quasiisometric to negatively curved homogeneous spaces.

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