The Horizontal Heat Kernel on the Quaternionic Anti-De Sitter Spaces and Related Twistor Spaces

Author:

Baudoin Fabrice,Demni Nizar,Wang Jing

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference18 articles.

1. Baditoiu, G.: Classification of Pseudo-Riemannian submersions with totally geodesic fibres from pseudo-hyperbolic spaces. Proc. Lond. Math. Soc. 105(6), 1315-1338 (2010)

2. Baditoiu, G., Ianus, S.: Semi-Riemannian submersions from real and complex hyperbolic spaces. Differential Geometry and its Applications 16(1), 79–94 (2002)

3. Baudoin, F.: Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations, Geometry, analysis and dynamics on sub-Riemannian manifolds, vol. 1, pp. 259–321. EMS Ser. Lect. Math., Eur. Math. Soc., Zürich (2016)

4. Baudoin, F., Bonnefont, M.: The subelliptic heat kernel on SU(2): representations, asymptotics and gradient bounds, Math. Z. 263, 647–672 (2009)

5. Baudoin, F., Demni, N.: Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration. To appear in ArKiv. Math

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