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

• 论文 • 上一篇    下一篇

VECTOR FIELDS FOR CONTACT PAIRS

何跃1, 赫海龙2   

  1. 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. 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: 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