Geodesic
Some Calculations of~Orlicz Cohomology and Poincar\'e--Sobolev--Orlicz Inequalities
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1079-1090

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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 Poincaré–Sobolev–Orlicz-type inequalities is discussed.
Keywords: differential form, Orlicz cohomology, Poincaré–Sobolev–Orlicz inequality.
Mots-clés : torsion 
@article{SEMR_2019_16_a138,
     author = {V. Gol'dshtein and Ya. A. Kopylov},
     title = {Some {Calculations} {of~Orlicz} {Cohomology} and {Poincar\'e--Sobolev--Orlicz} {Inequalities}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1079--1090},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a138/}
}
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V. Gol'dshtein; Ya. A. Kopylov. Some Calculations of~Orlicz Cohomology and Poincar\'e--Sobolev--Orlicz Inequalities. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1079-1090. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a138/