余迷向子流形的等价性
微分几何
2015-09-15 v2 辛几何
摘要
我们研究了哈密顿微分同胚和辛微分同胚在余迷向子流形形变问题中的作用。我们证明了哈密顿微分同胚的作用对应于 Oh 和 Park 的 -代数的规范作用。此外，我们引入了扩展规范等价的概念，并表明在 Oh 和 Park 的 -代数情形下，可恢复辛各向同性对余迷向子流形的作用。最后，我们详细考虑了横截可积的情形。
引用
@article{arxiv.1411.3227,
title = {Equivalences of coisotropic submanifolds},
author = {Florian Schaetz and Marco Zambon},
journal= {arXiv preprint arXiv:1411.3227},
year = {2015}
}
备注
There is an overlap between the results presented in one of the main sections of the present note (Section 3) and the recent preprint ArXiv:1410.8446 by L\^e, Oh, Tortorella and Vitagliano (once specialized to the symplectic case). Final version accepted for publication. Results in Section 4.3 simplified, Appendix and references added