Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry

被引：0
|
作者：
Barilari D. [1 ]
机构：
[1] SISSA, Via Bonomea 265, Trieste
来源：
Journal of Mathematical Sciences | 2013年 / 195卷 / 3期
基金：
欧洲研究理事会;
关键词：
Heat Kernel; Heisenberg Group; Orthonormal Frame; Reeb Vector; Local Orthonormal Frame;
D O I：
10.1007/s10958-013-1585-1
中图分类号：
学科分类号：
摘要：
In this paper, we study the small time asymptotics for the heat kernel on a sub-Riemannian manifold, using a perturbative approach. We explicitly compute, in the case of a 3D contact structure, the first two coefficients of the small time asymptotics expansion of the heat kernel on the diagonal, expressing them in terms of the two basic functional invariants χ and κ defined on a 3D contact structure. © 2013 Springer Science+Business Media New York.
引用
收藏
页码：391 / 411
页数：20
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