On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁
One primary objective in submanifold geometry is to discover fascinating and significant classical examples of ₁. In this paper, which relies on the theory we established in [Adv. Math. 405 (2022), 08514, 50 pages, arXiv:2101.11780] and utilizing the approach we provided for constructing constant -m...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2025 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212880 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁. Hung-Lin Chiu, Sin-Hua Lai and Hsiao-Fan Liu. SIGMA 21 (2025), 011, 25 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862737407682543616 |
|---|---|
| author | Chiu, Hung-Lin Lai, Sin-Hua Liu, Hsiao-Fan |
| author_facet | Chiu, Hung-Lin Lai, Sin-Hua Liu, Hsiao-Fan |
| citation_txt | On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁. Hung-Lin Chiu, Sin-Hua Lai and Hsiao-Fan Liu. SIGMA 21 (2025), 011, 25 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | One primary objective in submanifold geometry is to discover fascinating and significant classical examples of ₁. In this paper, which relies on the theory we established in [Adv. Math. 405 (2022), 08514, 50 pages, arXiv:2101.11780] and utilizing the approach we provided for constructing constant -mean curvature surfaces, we have identified intriguing examples of such surfaces. Notably, we present a complete description of rotationally invariant surfaces of constant p-mean curvature and shed light on the geometric interpretation of the energy with a lower bound.
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| first_indexed | 2026-03-21T18:31:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212880 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:31:18Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chiu, Hung-Lin Lai, Sin-Hua Liu, Hsiao-Fan 2026-02-13T13:50:02Z 2025 On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁. Hung-Lin Chiu, Sin-Hua Lai and Hsiao-Fan Liu. SIGMA 21 (2025), 011, 25 pages 1815-0659 2020 Mathematics Subject Classification: 53A10; 53C42; 53C22; 34A26 arXiv:2309.14697 https://nasplib.isofts.kiev.ua/handle/123456789/212880 https://doi.org/10.3842/SIGMA.2025.011 One primary objective in submanifold geometry is to discover fascinating and significant classical examples of ₁. In this paper, which relies on the theory we established in [Adv. Math. 405 (2022), 08514, 50 pages, arXiv:2101.11780] and utilizing the approach we provided for constructing constant -mean curvature surfaces, we have identified intriguing examples of such surfaces. Notably, we present a complete description of rotationally invariant surfaces of constant p-mean curvature and shed light on the geometric interpretation of the energy with a lower bound. The first author’s research was supported in part by NSTC 112-2115-M-007-009-MY3. The second author’s research was supported in part by NSTC 110-2115-M-167-002-MY2 and NSTC 112-2115-M-167-002-MY2. The third author’s research was supported in part by NSTC 1122628-M-032-001-MY4. We all thank the anonymous referees for carefully reading our manuscript and their insightful comments and suggestions for improving the article. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁ Article published earlier |
| spellingShingle | On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁ Chiu, Hung-Lin Lai, Sin-Hua Liu, Hsiao-Fan |
| title | On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁ |
| title_full | On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁ |
| title_fullStr | On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁ |
| title_full_unstemmed | On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁ |
| title_short | On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group ₁ |
| title_sort | on invariants of constant -mean curvature surfaces in the heisenberg group ₁ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212880 |
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