De Rham’s Theorem for Orlicz Cohomology Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2022, Volume: 63, Number: 4, Pages: 777-788 Pages count : 12 DOI: 10.1134/S0037446622040188 | ||
| Tags | 515.142; Orlicz cohomology; Orlicz space; quasi-isometry invariant | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
We prove that the de Rham $ L^{\phi} $-cohomology of a Riemannian manifold $ M $admitting a convenient triangulation $ X $ is isomorphic to the simplicial$ \ell^{\phi} $-cohomology of $ X $ under some assumptions on the Young function$ \phi $. This result implies the quasi-isometry invariance of the first cohomology.
Cite:
Sequeira E.
De Rham’s Theorem for Orlicz Cohomology
Siberian Mathematical Journal. 2022. V.63. N4. P.777-788. DOI: 10.1134/S0037446622040188 WOS Scopus РИНЦ OpenAlex
De Rham’s Theorem for Orlicz Cohomology
Siberian Mathematical Journal. 2022. V.63. N4. P.777-788. DOI: 10.1134/S0037446622040188 WOS Scopus РИНЦ OpenAlex
Original:
Секейра Э.
Теорема де Рама для когомологий Орлича
Сибирский математический журнал. 2022. Т.63. №4. С.935-948. DOI: 10.33048/smzh.2022.63.418 РИНЦ
Теорема де Рама для когомологий Орлича
Сибирский математический журнал. 2022. Т.63. №4. С.935-948. DOI: 10.33048/smzh.2022.63.418 РИНЦ
Dates:
| Submitted: | Sep 30, 2021 |
| Accepted: | Feb 10, 2022 |
| Published online: | Jul 27, 2022 |
Identifiers:
| ≡ Web of science: | WOS:000831328200018 |
| ≡ Scopus: | 2-s2.0-85135096941 |
| ≡ Elibrary: | 51150793 |
| ≡ OpenAlex: | W3202922462 |