The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• ISSN: 1815-0659
• Main Authors: Baudoin, Fabrice, Cho, Gunhee
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211174
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration. Fabrice Baudoin and Gunhee Cho. SIGMA 17 (2021), 014, 9 pages

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...