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

DOI10.1007/S11118-007-9049-1arXiv1207.5668MaRDI QIDQ6234611

Publication date: 24 July 2012

Abstract: 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.

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hodge theory in global analysis (58A14) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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