Some Calculations of Orlicz Cohomology and Poincar\'e--Sobolev--Orlicz Inequalities
classification
🧮 math.DG
keywords
cohomologyorliczcalculationsinequalitiespoincarsomeballbasic
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We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincar\'e--Sobolev--Orlicz-type inequalities is discussed.
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