The subelliptic heat kernel on the anti-de Sitter space. (English) Zbl 1357.58029
The author studies the subelliptic heat kernel of the sub-Laplacian on a 2n+1-dimensional anti-de Sitter space \(H^{2n+1}\). In particular, he obtains an explicit formula of geometric meaning for the subelliptic heat kernel based on the symmetry coming from the Hopf fibration \(S^1\rightarrow H^{2n+1}\).
Reviewer: Peibiao Zhao (Nanjing)
MSC:
| 58J35 | Heat and other parabolic equation methods for PDEs on manifolds |
| 53C17 | Sub-Riemannian geometry |
Keywords:
subelliptic heat kernel; small time estimates of heat kernel; anti-de Sitter space; sub-Riemannian model space with negative curvatureReferences:
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