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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 014, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.014 (Mi sigma1697) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

Fabrice Baudoin, Gunhee Cho

Department of Mathematics, University of Connecticut, 196 Auditorium Road, Storrs, CT 06269-3009, USA
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DOI: https://doi.org/10.3842/SIGMA.2021.014
Abstract: 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 $\mathbb{O}H^1$. We also obtain two integral representations for the corresponding subelliptic heat kernel.
Keywords: sub-Laplacian, 15-dimensional octonionic anti-de Sitter space, the anti-de Sitter fibration.
Funding agency Grant number
National Science Foundation DMS-1901315
F.B. is partially funded by the NSF grant DMS-1901315.
Received: July 31, 2020; in final form January 29, 2021; Published online February 10, 2021
Bibliographic databases:
Document Type: Article
MSC: 58J35, 53C17
Language: English
Citation: Fabrice Baudoin, Gunhee Cho, “The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration”, SIGMA, 17 (2021), 014, 9 pp.
Citation in format AMSBIB
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\paper The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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