ON 5-MANIFOLDS ADMITTING RANK TWO DISTRIBUTIONS OF CARTAN TYPE

被引：6
作者：
Dave, Shantanu [1 ]
Haller, Stefan [2 ,3 ]
机构：
[1] Univ Vienna, Wolfgang Pauli Inst, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
[3] Univ Vienna, Dept Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 07期
基金：
奥地利科学基金会;
关键词：
Rank two distributions of Cartan type in dimension five; parabolic geometry; h-principle; mod; 2; index; Lutz-Martinez theorem; OVERTWISTED CONTACT STRUCTURES; VECTOR-FIELDS; CLASSIFICATION; EXISTENCE;
D O I：
10.1090/tran/7495
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the question whether an orientable 5-manifold can be equipped with a rank two distribution of Cartan type and what 2-plane bundles can be realized. We obtain a complete answer for open manifolds. In the closed case, we settle the topological part of this problem and present partial results concerning its geometric aspects and new examples.
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页码：4911 / 4929
页数：19
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