The subelliptic heat kernel of the octonionic anti-de Sitter fibration

DOI10.3842/SIGMA.2021.014zbMath1464.58010arXiv2003.13512MaRDI QIDQ2023441

Fabrice Baudoin, Gunhee Cho

Publication date: 3 May 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13512

zbMATH Keywords

sub-Laplaciananti-de Sitter fibration15-dimensional octonionic anti-de Sitter space

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Sub-Riemannian geometry (53C17)

Related Items

Sub-Riemannian geodesics on SL(2,ℝ) ⋮ Octonionic Brownian windings

Cites Work

• The subelliptic heat kernel on the anti-de Sitter space
• Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration
• Precise estimates for the subelliptic heat kernel on H-type groups
• Explicit formulae for the wave kernels for the Laplacians \(\Delta_{\alpha\beta}\) in the Bergman ball \(B^ n, n\geq 1\)
• Semi-Riemannian submersions from real and complex pseudo-hyperbolic spaces.
• Stochastic areas, winding numbers and Hopf fibrations
• Matrix representations of octonions and their applications
• The subelliptic heat kernel of the octonionic Hopf fibration
• H-type foliations
• The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces