A Bochner like theorem about infinitesimal contact automorphisms

被引：0
|
作者：
Lotta, Antonio [1 ]
机构：
[1] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2024年 / 53卷 / 01期
关键词：
contact manifold; infinitesimal contact automorphism; Jacobi operator;
D O I：
10.14492/hokmj/2022-623
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that on a compact contact manifold there are no infinitesimal contact automorphisms, apart from the scalar multiples of the Reeb vector field, provided the manifold carries an admissible Riemannian metric whose Jacobi operator is negative definite on the contact subbundle.
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页码：91 / 98
页数：8
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