Product Inequalities for ⋊-Stabilized Scalar Curvature
We study metric invariants of Riemannian manifolds defined via the ⋊-stabilized scalar curvatures of manifolds mapped to and prove in some cases the additivity of these invariants under Riemannian products ₁ × ₂.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2024 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212157 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Product Inequalities for ⋊-Stabilized Scalar Curvature. Misha Gromov. SIGMA 20 (2024), 038, 25 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862726924549226496 |
|---|---|
| author | Gromov, Misha |
| author_facet | Gromov, Misha |
| citation_txt | Product Inequalities for ⋊-Stabilized Scalar Curvature. Misha Gromov. SIGMA 20 (2024), 038, 25 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study metric invariants of Riemannian manifolds defined via the ⋊-stabilized scalar curvatures of manifolds mapped to and prove in some cases the additivity of these invariants under Riemannian products ₁ × ₂.
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| first_indexed | 2026-03-21T10:04:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212157 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T10:04:20Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gromov, Misha 2026-01-30T08:13:24Z 2024 Product Inequalities for ⋊-Stabilized Scalar Curvature. Misha Gromov. SIGMA 20 (2024), 038, 25 pages 1815-0659 2020 Mathematics Subject Classification: 53C21 arXiv:2306.02932 https://nasplib.isofts.kiev.ua/handle/123456789/212157 https://doi.org/10.3842/SIGMA.2024.038 We study metric invariants of Riemannian manifolds defined via the ⋊-stabilized scalar curvatures of manifolds mapped to and prove in some cases the additivity of these invariants under Riemannian products ₁ × ₂. I am thankful to anonymous referees for helpful suggestions and for pointing out errors in the first version of this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Product Inequalities for ⋊-Stabilized Scalar Curvature Article published earlier |
| spellingShingle | Product Inequalities for ⋊-Stabilized Scalar Curvature Gromov, Misha |
| title | Product Inequalities for ⋊-Stabilized Scalar Curvature |
| title_full | Product Inequalities for ⋊-Stabilized Scalar Curvature |
| title_fullStr | Product Inequalities for ⋊-Stabilized Scalar Curvature |
| title_full_unstemmed | Product Inequalities for ⋊-Stabilized Scalar Curvature |
| title_short | Product Inequalities for ⋊-Stabilized Scalar Curvature |
| title_sort | product inequalities for ⋊-stabilized scalar curvature |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212157 |
| work_keys_str_mv | AT gromovmisha productinequalitiesforstabilizedscalarcurvature |