Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

Vladimir Gol'dshtein, Yaroslav Anatol evich Kopylov

Research output: Contribution to journalArticlepeer-review

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 Poincaré-Sobolev-Orlicztype inequalities is discussed.

Original languageEnglish
Pages (from-to)1079-1090
Number of pages12
JournalСибирские электронные математические известия
Volume16
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Differential form
  • Orlicz cohomology
  • Poincaré-Sobolev- Orlicz inequality
  • Torsion
  • differential form
  • DIFFERENTIAL FORMS
  • torsion
  • SPACES
  • Poincare-Sobolev-Orlicz inequality

OECD FOS+WOS

  • 1.01 MATHEMATICS

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