A LICHNEROWICZ ESTIMATE FOR THE SPECTRAL GAP OF A SUB-LAPLACIAN

被引：1

作者：

Berge, Stine Marie ^{[1
]}

Grong, Erlend ^{[2
,3
]}

机构：

[1] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway

[2] Univ Paris Saclay, Univ Paris Sud, Lab Signaux & Syst L2S Supelec, CNRS, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France

[3] Univ Bergen, Dept Math, POB 7803, N-5020 Bergen, Norway

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 12期

关键词：

Spectral gap; Lichnerowicz estimate; sub-Laplacian; RIEMANNIAN MANIFOLDS; 1ST EIGENVALUE; INEQUALITIES; POINCARE; SOBOLEV; THEOREM;

D O I：

10.1090/proc/14223

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a second order operator on a compact manifold satisfying the strong Hormander condition, we give a bound for the spectral gap analogous to the Lichnerowicz estimate for the Laplacian of a Riemannian manifold. We consider a wide class of such operators which includes horizontal lifts of the Laplacian on Riemannian submersions with minimal leaves.

引用

页码：5153 / 5166

页数：14

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