The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration
In this note, we study the sub-Laplacian of the 15-dimensional octonionic anti-de Sitter space, which is obtained by lifting with respect to the anti-de Sitter fibration the Laplacian of the octonionic hyperbolic space ¹. We also obtain two integral representations for the corresponding subelliptic...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2021 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211174 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration. Fabrice Baudoin and Gunhee Cho. SIGMA 17 (2021), 014, 9 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862726474934517760 |
|---|---|
| author | Baudoin, Fabrice Cho, Gunhee |
| author_facet | Baudoin, Fabrice Cho, Gunhee |
| citation_txt | The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration. Fabrice Baudoin and Gunhee Cho. SIGMA 17 (2021), 014, 9 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this note, we study the sub-Laplacian of the 15-dimensional octonionic anti-de Sitter space, which is obtained by lifting with respect to the anti-de Sitter fibration the Laplacian of the octonionic hyperbolic space ¹. We also obtain two integral representations for the corresponding subelliptic heat kernel.
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| first_indexed | 2026-03-21T09:33:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211174 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T09:33:20Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Baudoin, Fabrice Cho, Gunhee 2025-12-25T13:22:15Z 2021 The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration. Fabrice Baudoin and Gunhee Cho. SIGMA 17 (2021), 014, 9 pages 1815-0659 2020 Mathematics Subject Classification: 58J35; 53C17 arXiv:2003.13512 https://nasplib.isofts.kiev.ua/handle/123456789/211174 https://doi.org/10.3842/SIGMA.2021.014 In this note, we study the sub-Laplacian of the 15-dimensional octonionic anti-de Sitter space, which is obtained by lifting with respect to the anti-de Sitter fibration the Laplacian of the octonionic hyperbolic space ¹. We also obtain two integral representations for the corresponding subelliptic heat kernel. F.B. is partially funded by the NSF grant DMS-1901315. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration Article published earlier |
| spellingShingle | The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration Baudoin, Fabrice Cho, Gunhee |
| title | The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration |
| title_full | The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration |
| title_fullStr | The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration |
| title_full_unstemmed | The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration |
| title_short | The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration |
| title_sort | subelliptic heat kernel of the octonionic anti-de sitter fibration |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211174 |
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