VECTOR FIELDS FOR CONTACT PAIRS

doi:10.1007/s10473-019-0412-2

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (4): 1081-1088.doi: 10.1007/s10473-019-0412-2

VECTOR FIELDS FOR CONTACT PAIRS

何跃¹, 赫海龙²

1. Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing 210023, China;
2. Department of Mathematics, Jinan University, Guangzhou 510632, China

收稿日期:2018-01-12 修回日期:2018-07-05 出版日期:2019-08-25 发布日期:2019-09-12
通讯作者: Hai-Long HER E-mail:hailongher@jnu.edu.cn
作者简介:Yue HE,E-mail:heyue@njnu.edu.cn
基金资助:
Y. He was supported by the National Natural Science Foundation of China (11671209, 11871278). H.-L. Her was supported by the National Natural Science Foundation of China (11671209) and by the Starting Foundation for Research of Jinan University.

VECTOR FIELDS FOR CONTACT PAIRS

Yue HE¹, Hai-Long HER²

1. Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing 210023, China;
2. Department of Mathematics, Jinan University, Guangzhou 510632, China

Received:2018-01-12 Revised:2018-07-05 Online:2019-08-25 Published:2019-09-12
Supported by:
Y. He was supported by the National Natural Science Foundation of China (11671209, 11871278). H.-L. Her was supported by the National Natural Science Foundation of China (11671209) and by the Starting Foundation for Research of Jinan University.

摘要/Abstract

摘要： Let M be a (2k+2l+2)-dimensional smooth manifold. For such M, Bande and Hadjar introduce a new geometric structure called contact pair which roughly is a couple of 1-forms of constant classes with complementary kernels and foliations. We show the relationship between a pair of vector fields for a contact pair and a quadruple of functions on M. This is a generalization of the classical result for contact manifolds.

关键词: Contact geometry, Reeb vector field, contact pair

Abstract: Let M be a (2k+2l+2)-dimensional smooth manifold. For such M, Bande and Hadjar introduce a new geometric structure called contact pair which roughly is a couple of 1-forms of constant classes with complementary kernels and foliations. We show the relationship between a pair of vector fields for a contact pair and a quadruple of functions on M. This is a generalization of the classical result for contact manifolds.

Key words: Contact geometry, Reeb vector field, contact pair

中图分类号:

53D10

何跃, 赫海龙. VECTOR FIELDS FOR CONTACT PAIRS[J]. 数学物理学报(英文版), 2019, 39(4): 1081-1088.

Yue HE, Hai-Long HER. VECTOR FIELDS FOR CONTACT PAIRS[J]. Acta mathematica scientia,Series B, 2019, 39(4): 1081-1088.

VECTOR FIELDS FOR CONTACT PAIRS

VECTOR FIELDS FOR CONTACT PAIRS

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