Hamilton-Jacobi theory and the heat kernel on Heisenberg groups

被引：131

作者：

Beals, R

Gaveau, B

Greiner, PC

机构：

[1] Yale Univ, Dept Math, New Haven, CT 06520 USA

[2] Univ Paris 06, F-75252 Paris 05, France

[3] Univ Toronto, Toronto, ON, Canada

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2000年 / 79卷 / 07期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

Heisenberg group; sub-Riemannian geometry; Carnot-Caratheodory metric; subelliptic diffusion; Hamiltonian mechanics;

D O I：

10.1016/S0021-7824(00)00169-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The subelliptic geometry of Heisenberg groups is worked out in detail and related to complex Hamiltonian mechanics. The two geometric pictures are essential for complete understanding of the heat equation for the subelliptic Laplacian. We give a complete description of the geodesics and obtain precise global estimates and small-time asymptotics of the heat kernel. (C) 2000 Editions scientifiques et medicales Elsevier SAS.

引用

页码：633 / 689

页数：57

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