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arXiv · 1904.09928

Some Calculations of Orlicz Cohomology and Poincar\'e--Sobolev--Orlicz Inequalities

Vladimir Gol'dshtein·Yaroslav Kopylov
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Abstract

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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Vladimir Gol'dshtein, Yaroslav Kopylov. 2019-04-22. Some Calculations of Orlicz Cohomology and Poincar\'e--Sobolev--Orlicz Inequalities. https://arxiv.org/abs/1904.09928

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