The Horizontal Heat Kernel on the Quaternionic Anti-De Sitter Spaces and Related Twistor Spaces
The Horizontal Heat Kernel on the Quaternionic Anti-De Sitter Spaces and Related Twistor Spaces
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四元数反德西特空间及相关扭量空间上的水平热核
DOI：
10.1007/s11118-018-9746-y
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发表时间：
2018
影响因子：
1.1
通讯作者：
Jing Wang
中科院分区：
文献类型：
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作者：
Fabrice Baudoin;N. Demni;Jing Wang
详细研究了Quaternionic Anti-DE保持纤维纤维的几何形状。结果，我们获得了纤维化的水平laplacian和下层热内核的公式。热核公式足够明确，可以得出少量的渐近学。还讨论了相关的扭曲空间和相应的热内核。
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.