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

Vladimir Gol'dshtein; Yaroslav Anatol evich Kopylov

doi:10.33048/semi.2019.16.075

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

Vladimir Gol'dshtein
, Yaroslav Anatol evich Kopylov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 language	English
Pages (from-to)	1079-1090
Number of pages	12
Journal	Siberian Electronic Mathematical Reports
Volume	16
DOIs	https://doi.org/10.33048/semi.2019.16.075
State	Published - 1 Jan 2019

Keywords

Differential form
Orlicz cohomology
Poincaré-Sobolev- Orlicz inequality
Torsion

ASJC Scopus subject areas

General Mathematics

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10.33048/semi.2019.16.075

Cite this

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title = "Some calculations of Orlicz cohomology and Poincar{\'e}-Sobolev-Orlicz inequalities",

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-Orlicztype inequalities is discussed.",

keywords = "Differential form, Orlicz cohomology, Poincar{\'e}-Sobolev- Orlicz inequality, Torsion",

author = "Vladimir Gol'dshtein and Kopylov, \{Yaroslav Anatol evich\}",

note = "Publisher Copyright: {\textcopyright} 2019, Sobolev Institute of Mathematics.",

year = "2019",

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day = "1",

doi = "10.33048/semi.2019.16.075",

language = "English",

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pages = "1079--1090",

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T1 - Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

AU - Gol'dshtein, Vladimir

AU - Kopylov, Yaroslav Anatol evich

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Differential form

KW - Orlicz cohomology

KW - Poincaré-Sobolev- Orlicz inequality

KW - Torsion

UR - https://www.scopus.com/pages/publications/85071150293

U2 - 10.33048/semi.2019.16.075

DO - 10.33048/semi.2019.16.075

M3 - Article

AN - SCOPUS:85071150293

SN - 1813-3304

VL - 16

SP - 1079

EP - 1090

JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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