De Rham’s Theorem for Orlicz Cohomology
Copyright policy )De Rham’s Theorem for Orlicz Cohomology
We prove that the de Rham $L^��$-cohomology of a Riemannian manifold $M$ admiting a convenient triangulation $X$ is isomorphic to the simplicial $\ell^��$-cohomology of $X$ for any Young function $��$. This result implies the quasi-isometry invariance of the first one.
- Sobolev Institute of Mathematics Russian Federation
Mathematics - Differential Geometry, Metric Geometry (math.MG), \(L^p\)-spaces and other function spaces on groups, semigroups, etc., Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Mathematics - Metric Geometry, Differential Geometry (math.DG), quasi-isometry invariant, FOS: Mathematics, Orlicz cohomology, Orlicz space, de Rham theory in global analysis
Mathematics - Differential Geometry, Metric Geometry (math.MG), \(L^p\)-spaces and other function spaces on groups, semigroups, etc., Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Mathematics - Metric Geometry, Differential Geometry (math.DG), quasi-isometry invariant, FOS: Mathematics, Orlicz cohomology, Orlicz space, de Rham theory in global analysis
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