八元数反德西特纤维丛的次椭圆热核
微分几何
2021-02-11 v3 偏微分方程分析
摘要
在本注记中，我们研究15维八元数反德西特空间的次拉普拉斯算子，该算子是通过将八元数双曲空间 的拉普拉斯算子沿反德西特纤维丛提升而得到的。我们还给出了相应次椭圆热核的两种积分表示。
引用
@article{arxiv.2003.13512,
title = {The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration},
author = {Fabrice Baudoin and Gunhee Cho},
journal= {arXiv preprint arXiv:2003.13512},
year = {2021}
}
备注
This note completes the study of the sub-Laplacians and associated heat kernels for the sub-Riemannian structures coming from H-type submersions over rank-one symmetric spaces. This is the companion of arXiv:1904.08568 which concerned the octonionic Hopf fibration and follows arXiv:1805.06796 and arXiv:1204.3642