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

Fabrice Baudoin; Nizar Demni; Jing Wang

doi:10.1007/s11118-018-9746-y

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

Fabrice Baudoin, Nizar Demni, Jing Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The geometry of the quaternionic anti-de Sitter fibration is studied in details. As a consequence, we obtain formulas for the horizontal Laplacian and subelliptic heat kernel of the fibration. The heat kernel formula is explicit enough to derive small time asymptotics. Related twistor spaces and corresponding heat kernels are also discussed.

Original language	English (US)
Pages (from-to)	281-300
Number of pages	20
Journal	Potential Analysis
Volume	52
Issue number	2
DOIs	https://doi.org/10.1007/s11118-018-9746-y
State	Published - Feb 1 2020

Keywords

Anti-de Sitter spaces
Heat kernels
Subelliptic operators
Symmetric spaces

ASJC Scopus subject areas

Analysis

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10.1007/s11118-018-9746-y

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abstract = "The geometry of the quaternionic anti-de Sitter fibration is studied in details. As a consequence, we obtain formulas for the horizontal Laplacian and subelliptic heat kernel of the fibration. The heat kernel formula is explicit enough to derive small time asymptotics. Related twistor spaces and corresponding heat kernels are also discussed.",

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author = "Fabrice Baudoin and Nizar Demni and Jing Wang",

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AB - The geometry of the quaternionic anti-de Sitter fibration is studied in details. As a consequence, we obtain formulas for the horizontal Laplacian and subelliptic heat kernel of the fibration. The heat kernel formula is explicit enough to derive small time asymptotics. Related twistor spaces and corresponding heat kernels are also discussed.

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KW - Heat kernels

KW - Subelliptic operators

KW - Symmetric spaces

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

Abstract

Keywords

ASJC Scopus subject areas

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